Characteristic subgroup
type: Ontology
creation date: 2025-12-28T12:34:56+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Characteristic subgroup
type: Subject
type: Category:Basic definitions in group theory
type: Category:Pivotal subgroup properties
type: Category:Subgroup properties
type: Category:GAP-listable subgroup properties
type: Category:Standard terminology
page: https://groupprops.subwiki.org/wiki/Characteristic_subgroup
wiki namespace: 0
wiki page content language: en
defining ingredient: Characteristic subalgebra
definition style: tabular
dissatisfies metaproperty: Conditionally lattice-determined subgroup property
dissatisfies metaproperty: Intermediate subgroup condition
dissatisfies metaproperty: Upper join-closed subgroup property
dissatisfies metaproperty: Finite direct power-closed subgroup property
dissatisfies metaproperty: Lower central series condition
importance rank: 1
MSC class: 20A05
page class: Term
quick phrase: invariant under all automorphisms
quick phrase: automorphism-invariant
quick phrase: strongly normal
quick phrase: normal under outer automorphisms
satisfies metaproperty: Transitive subgroup property
satisfies metaproperty: Invariance property
satisfies metaproperty: Endo-invariance property
satisfies metaproperty: Trim subgroup property
satisfies metaproperty: Strongly intersection-closed subgroup property
satisfies metaproperty: Strongly join-closed subgroup property
satisfies metaproperty: Quotient-transitive subgroup property
satisfies metaproperty: Commutator-closed subgroup property
satisfies metaproperty: Centralizer-closed subgroup property
satisfies metaproperty: Partition difference condition
satisfies metaproperty: GAP-testable subgroup property
satisfies metaproperty: Second-order subgroup property
stronger than: Normal subgroup
stronger than: Subnormal subgroup
stronger than: Coprime automorphism-invariant subgroup
stronger than: Coprime automorphism-invariant normal subgroup
stronger than: Cofactorial automorphism-invariant subgroup
stronger than: Automorph-conjugate subgroup
stronger than: Core-characteristic subgroup
stronger than: Closure-characteristic subgroup
stronger than: Procharacteristic subgroup
term introduced by: Ferdinand Georg Frobenius
weaker than: Fully invariant subgroup
weaker than: Strictly characteristic subgroup
weaker than: Isomorph-free subgroup
weaker than: Isomorph-containing subgroup
weaker than: Injective endomorphism-invariant subgroup
weaker than: Characteristic central factor
weaker than: Homomorph-containing subgroup
weaker than: Subhomomorph-containing subgroup
weaker than: Variety-containing subgroup
weaker than: Quotient-isomorph-containing subgroup
weaker than: Quotient-isomorph-free subgroup
weaker than: Elementarily characteristic subgroup
weaker than: Purely definable subgroup
weaker than: MSO-definable subgroup
weaker than: Intermediately characteristic subgroup
weaker than: Transfer-closed characteristic subgroup
weaker than: Verbal subgroup
weaker than: Existentially bound-word subgroup
weaker than: Bound-word subgroup
weaker than: Finite direct power-closed characteristic subgroup
weaker than: Direct power-closed characteristic subgroup
weaker than: Quasiautomorphism-invariant subgroup
weaker than: 1-automorphism-invariant subgroup
weaker than: Conjugacy-closed characteristic subgroup
weaker than: Characteristic transitively normal subgroup
weaker than: Characteristic subgroup of finite index
weaker than: Abelian characteristic subgroup
weaker than: Nilpotent characteristic subgroup
weaker than: Cyclic characteristic subgroup
weaker than: Solvable characteristic subgroup
weaker than: Finite characteristic subgroup
weaker than: Perfect characteristic subgroup
weaker than: Simple characteristic subgroup
weaker than: Characteristic subgroup of finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_02100fb1f10b4be1e87ed05b502adb4b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Frobenius95
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Paper-3AFrobenius95

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_4f6bb4fe0f518a32db2625f1e6a48a47
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#BurnsideFiniteGroups;92
number: 92
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ABurnsideFiniteGroups

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_60e6bcdcd9e801f175210ae5915b1d3f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#DummitFoote;135;Section 4.4 (''Automorphisms'');formal definition
number: 135
text: Section 4.4 (''Automorphisms'')
text: formal definition
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ADummitFoote

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_a5fdc8ccb4f93b0b249c0d3ff4c3066a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Herstein;70;Problem 7(a);introduced in exercise
number: 70
text: Problem 7(a)
text: introduced in exercise
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AHerstein

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_4590b2020c6e135faaf97277b9516129
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Artin;234;Section 8 (''generators and relations''), Exercise 7;introduced in exercise
number: 234
text: Section 8 (''generators and relations''), Exercise 7
text: introduced in exercise
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AArtin

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_32a4ef88b3991b55f449dcfcee85a226
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Fraleigh;428;Exercises 8.6, Concepts, Point 4;introduced in exercise
number: 428
text: Exercises 8.6, Concepts, Point 4
text: introduced in exercise
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AFraleigh

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_aae63f37b85c5afe325cf24570147049
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Gallian;168
number: 168
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AGallian

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_064938574ed71f4cf05cbc47373615d5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#CohnBasicAlgebra;46;Section 2.6;definition in paragraph
number: 46
text: Section 2.6
text: definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ACohnBasicAlgebra

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_07db9bec8e6fb806293f188db6ab10e3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Hungerford;103;Chapter II, Section 7;definition in paragraph
number: 103
text: Chapter II, Section 7
text: definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AHungerford

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_2e0631a1c52070f2f08a256262c68862
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#IsaacsGT;11;definition in paragraph
number: 11
text: definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AIsaacsGT

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_eb219a1e110809b09d19929cbba5c8b0
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#AlperinBell;17;formal definition in paragraph
number: 17
text: formal definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AAlperinBell

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_db262e4552605fee13a05c41e5c9579d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#KhukhroNGA;4;Section 1.1;definition in paragraph
number: 4
text: Section 1.1
text: definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AKhukhroNGA

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_ef35065f40e1d6ffc242c31bbf4ebe7c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#FGTAsch;25
number: 25
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AFGTAsch

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_5f5c9dbe43300636d6a3572857b4df65
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#RobinsonGT;28;Section 1.5;definition in paragraph
number: 28
text: Section 1.5
text: definition in paragraph
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ARobinsonGT

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_d0c63b587a042a018c6b5245bfbfc8d0
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#RotmanGT;104;formal definition
number: 104
text: formal definition
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ARotmanGT

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_83f20e9bf7cdbb8240eeffaceba7a4f8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
wiki page sort key: Characteristic subgroup#Frobenius95
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Paper-3AFrobenius95

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa06e7f16fa3dc8cb712b7a1b798724eb
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: tabular
wiki page sort key: Characteristic subgroup# QUERYa06e7f16fa3dc8cb712b7a1b798724eb

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY55395050ea172d0d6c3f628a0a46b1b8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY55395050ea172d0d6c3f628a0a46b1b8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6ac54b11840a557f9c295d89c5e47962
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 5
query string: Characteristic subgroup 1
wiki page sort key: Characteristic subgroup# QUERY6ac54b11840a557f9c295d89c5e47962

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY2ff4463348e01ea87a0c9241fbb7966c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 3
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY2ff4463348e01ea87a0c9241fbb7966c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY95a4ba54f66285f3a26d650fde6b7f11
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY95a4ba54f66285f3a26d650fde6b7f11

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb11caf297924194e58e78e7366aa526f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 3
query string: Survey article about.Defining ingredient::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYb11caf297924194e58e78e7366aa526f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7fc565309111a9c9e1d29eb101b286d3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY7fc565309111a9c9e1d29eb101b286d3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY198fc0a4636c1b745c4fe2bf3c1ebf9a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY198fc0a4636c1b745c4fe2bf3c1ebf9a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY154f057d9dc2b7aa69f911bae4a9cf1f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY154f057d9dc2b7aa69f911bae4a9cf1f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa1f7e61d8b1b48bd6ed9f18a212fc062
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYa1f7e61d8b1b48bd6ed9f18a212fc062

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1f3141e0f114f7c5cf30753e39cddf94
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY1f3141e0f114f7c5cf30753e39cddf94

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY43ed068db99e49ffd0eb6decb98a1f04
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY43ed068db99e49ffd0eb6decb98a1f04

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY2cf3ae37f355dbcf847dba5637ce95de
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY2cf3ae37f355dbcf847dba5637ce95de

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYf8128bb60541907c61e48c4626880971
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYf8128bb60541907c61e48c4626880971

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY33525c29530957d864b95d3b42e7e35e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Characteristic subgroup
query string: Fact about.Page::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY33525c29530957d864b95d3b42e7e35e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7c5592e855c53ffa9aa708de671f3ab4
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY7c5592e855c53ffa9aa708de671f3ab4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe5a59a67fe83053408b3e4ec128c2d46
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYe5a59a67fe83053408b3e4ec128c2d46

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc59ca6f7b6c7879085cb4a7c4dccd769
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Normality
wiki page sort key: Characteristic subgroup# QUERYc59ca6f7b6c7879085cb4a7c4dccd769

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe565c9b7bcdbdfe0820af432788f561c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 6
query string: Characteristic subgroup OR Satisfies property.Stronger than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYe565c9b7bcdbdfe0820af432788f561c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY19258d880aff1bcdd33cd59710c409a5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 6
query string: Characteristic subgroup OR Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY19258d880aff1bcdd33cd59710c409a5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7bf750b01d97f613f8288d39f7e032fe
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is transitive
wiki page sort key: Characteristic subgroup# QUERY7bf750b01d97f613f8288d39f7e032fe

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb246e87d7703c03fc39400c00ed09fc6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is strongly intersection-closed
wiki page sort key: Characteristic subgroup# QUERYb246e87d7703c03fc39400c00ed09fc6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY0eec044d3c73c725f937ded1e7e6a4b3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is strongly join-closed
wiki page sort key: Characteristic subgroup# QUERY0eec044d3c73c725f937ded1e7e6a4b3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa71760b4a2caa50922333d640ef073a2
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is quotient-transitive
wiki page sort key: Characteristic subgroup# QUERYa71760b4a2caa50922333d640ef073a2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY54145834bd5c7448b5656d41e5b11efd
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity does not satisfy intermediate subgroup condition
wiki page sort key: Characteristic subgroup# QUERY54145834bd5c7448b5656d41e5b11efd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY9ded037d559e0d3ca7bb064559c26f49
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is not upper join-closed
wiki page sort key: Characteristic subgroup# QUERY9ded037d559e0d3ca7bb064559c26f49

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbf0141e136c85653672139c09f410196
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is commutator-closed
wiki page sort key: Characteristic subgroup# QUERYbf0141e136c85653672139c09f410196

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYaa1ae581fdf28638a6719b7397333868
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is centralizer-closed
wiki page sort key: Characteristic subgroup# QUERYaa1ae581fdf28638a6719b7397333868

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1e6fe3282153ad2e3b068da2568253da
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity does not satisfy lower central series
wiki page sort key: Characteristic subgroup# QUERY1e6fe3282153ad2e3b068da2568253da

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY53d9feae764698b132b1298cf7054f2e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is not finite direct power-closed
wiki page sort key: Characteristic subgroup# QUERY53d9feae764698b132b1298cf7054f2e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYdd7201ef2fc5a3f97fb5ed71cbd13cf3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity is not finite-relative-intersection-closed
wiki page sort key: Characteristic subgroup# QUERYdd7201ef2fc5a3f97fb5ed71cbd13cf3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc81d22bc3e89b700b9ec1953e567e847
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: Characteristicity satisfies partition difference condition
wiki page sort key: Characteristic subgroup# QUERYc81d22bc3e89b700b9ec1953e567e847

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYee358842c83a611407fde6b13b8d909e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 0
query format: plainlist
query size: 1
query string: No subgroup property between normal Sylow and subnormal or between Sylow retract and retract is conditionally lattice-determined
wiki page sort key: Characteristic subgroup# QUERYee358842c83a611407fde6b13b8d909e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY289079cacd555bbe0c2c7ddb759e58f2
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Fully invariant subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Fully invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY289079cacd555bbe0c2c7ddb759e58f2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY706af4aeca70c5b52f9d6f213b4c761b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Fully invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY706af4aeca70c5b52f9d6f213b4c761b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY98d1861686ad2da1a3e9803e73541e0b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Fully invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY98d1861686ad2da1a3e9803e73541e0b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYfc4ac0899159a3aefa107a001dfc40b5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Isomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYfc4ac0899159a3aefa107a001dfc40b5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY91be1adcc1c68c76ccb96c72835e637a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY91be1adcc1c68c76ccb96c72835e637a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY589e93175e8ba79b07f4cd8f6ef8a49b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY589e93175e8ba79b07f4cd8f6ef8a49b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY79708ae4ac1f4d3dc2633f350656ac04
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Isomorph-free subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Isomorph-free subgroup
wiki page sort key: Characteristic subgroup# QUERY79708ae4ac1f4d3dc2633f350656ac04

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc9ddc45eb1d0c8bf95d7c935153ecce2
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Isomorph-free subgroup
wiki page sort key: Characteristic subgroup# QUERYc9ddc45eb1d0c8bf95d7c935153ecce2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYf7daedf972e9452cd31819105bcddd06
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Isomorph-free subgroup
wiki page sort key: Characteristic subgroup# QUERYf7daedf972e9452cd31819105bcddd06

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1a9f84122651b2cdcefd4750097c0d85
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Injective endomorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY1a9f84122651b2cdcefd4750097c0d85

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6646a500388cb4adcfa5a3a68d3ff610
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Injective endomorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY6646a500388cb4adcfa5a3a68d3ff610

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5806094ca073dc22430df0bb0a4c5839
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Strictly characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY5806094ca073dc22430df0bb0a4c5839

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY3379c0a64324624be1874110185ea295
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Strictly characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY3379c0a64324624be1874110185ea295

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY02e2389cfd5d75ed20583a00a6f5c16c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Homomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Homomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY02e2389cfd5d75ed20583a00a6f5c16c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb78d7e953d9150cb36dc3960e703441d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Homomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYb78d7e953d9150cb36dc3960e703441d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYec394b9310f12ef8cff563849f835bb1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Homomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYec394b9310f12ef8cff563849f835bb1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY449ab975e0ee6114dc45b878914633be
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Subhomomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Subhomomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY449ab975e0ee6114dc45b878914633be

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc2337bffec85c3bcf50d29bea912601b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Subhomomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYc2337bffec85c3bcf50d29bea912601b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1b5d110484086573c7b9a95431e213bc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Subhomomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY1b5d110484086573c7b9a95431e213bc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY00abdfb4fec0108d4b6f1e11c7d75da9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Variety-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY00abdfb4fec0108d4b6f1e11c7d75da9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5d7f8a3300028b63e88bdab520854742
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Variety-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY5d7f8a3300028b63e88bdab520854742

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY940d0dc142b53e2f0d925c192c74cacc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Characteristic subgroup Quotient-isomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Quotient-isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY940d0dc142b53e2f0d925c192c74cacc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc215b46ba2fe2265775f1cab7165a7d0
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Quotient-isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYc215b46ba2fe2265775f1cab7165a7d0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY719471de9aa3b27c38dccd0bb6b26cf1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Quotient-isomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY719471de9aa3b27c38dccd0bb6b26cf1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb09cf91adc084706a468e64e3783bc04
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Quotient-subisomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERYb09cf91adc084706a468e64e3783bc04

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1497b8611b61782a0e9adfd10e9f3cc8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Quotient-subisomorph-containing subgroup
wiki page sort key: Characteristic subgroup# QUERY1497b8611b61782a0e9adfd10e9f3cc8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY959ec0f2db6c82958aa297fbfb82ab9e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Elementarily characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY959ec0f2db6c82958aa297fbfb82ab9e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY28e918a371d0bb6698a8d7b8c8a406ff
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Elementarily characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY28e918a371d0bb6698a8d7b8c8a406ff

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYabf8ce238ae193adf988017b113bb7e1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Purely definable subgroup
wiki page sort key: Characteristic subgroup# QUERYabf8ce238ae193adf988017b113bb7e1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY248024949ff3986a43529c5f1cbcf1d5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Purely definable subgroup
wiki page sort key: Characteristic subgroup# QUERY248024949ff3986a43529c5f1cbcf1d5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5d52d64caf08f439bd43708bac55ce37
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup MSO-definable subgroup
wiki page sort key: Characteristic subgroup# QUERY5d52d64caf08f439bd43708bac55ce37

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6d9d5561f9ba123436a95e5dc06cfcc8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup MSO-definable subgroup
wiki page sort key: Characteristic subgroup# QUERY6d9d5561f9ba123436a95e5dc06cfcc8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY704222ed62ed5715db8b90c84e87880d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Intermediately characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY704222ed62ed5715db8b90c84e87880d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY2544fc0257f93512aae6e7fbdfe06f4d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Intermediately characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY2544fc0257f93512aae6e7fbdfe06f4d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7c4c04c7484732e264814ef81763db8d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Transfer-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY7c4c04c7484732e264814ef81763db8d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY190f4887be65077a7b0e65b607dd3565
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Transfer-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY190f4887be65077a7b0e65b607dd3565

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY68fb79d427b314b546899f21c3a7835b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Verbal subgroup
wiki page sort key: Characteristic subgroup# QUERY68fb79d427b314b546899f21c3a7835b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY2a9edd6312f251e9120e0a5ef6256271
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Verbal subgroup
wiki page sort key: Characteristic subgroup# QUERY2a9edd6312f251e9120e0a5ef6256271

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc2b64d608f47364e65eaf71a9fc34e9d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Existentially bound-word subgroup
wiki page sort key: Characteristic subgroup# QUERYc2b64d608f47364e65eaf71a9fc34e9d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY16ac3f6154b6c3bc4512010ad0b7f2a8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Existentially bound-word subgroup
wiki page sort key: Characteristic subgroup# QUERY16ac3f6154b6c3bc4512010ad0b7f2a8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5b90c2002a8057fe5e0687b4c39efc13
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Bound-word subgroup
wiki page sort key: Characteristic subgroup# QUERY5b90c2002a8057fe5e0687b4c39efc13

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb1bbdc5ca69bedb882120e69631151a6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Bound-word subgroup
wiki page sort key: Characteristic subgroup# QUERYb1bbdc5ca69bedb882120e69631151a6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY158f5d6f2f92ef06f7f39729a75d9b66
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Finite direct power-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY158f5d6f2f92ef06f7f39729a75d9b66

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6490e55919a3a5e51447badcd4d730dd
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Finite direct power-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY6490e55919a3a5e51447badcd4d730dd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY42e6f8d23ef0b22cd5da94f0ba3070b3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Direct power-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY42e6f8d23ef0b22cd5da94f0ba3070b3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY413b0913d35d12a006616299a28d36dc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Direct power-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY413b0913d35d12a006616299a28d36dc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY74d52ce674776d5bdc562099d5f34469
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Quasiautomorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY74d52ce674776d5bdc562099d5f34469

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY63ef07d616842183d149ee17d77070c6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Quasiautomorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY63ef07d616842183d149ee17d77070c6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6c4aa736d696dbff27836eb80ee290f3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup 1-automorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERY6c4aa736d696dbff27836eb80ee290f3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYd6918b8dd475e9c6cc73716db4902168
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup 1-automorphism-invariant subgroup
wiki page sort key: Characteristic subgroup# QUERYd6918b8dd475e9c6cc73716db4902168

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY078105b3e0b1eaea76e88857fe6aa3c1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY078105b3e0b1eaea76e88857fe6aa3c1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY44526c56ff7ed747ba487959721bcc04
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERY44526c56ff7ed747ba487959721bcc04

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY33724b432faf50b158473dc204dacd97
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intermediate subgroup condition
wiki page sort key: Characteristic subgroup# QUERY33724b432faf50b158473dc204dacd97

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY9561e9e56f1330d820cdd0512b444b0b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transfer condition
wiki page sort key: Characteristic subgroup# QUERY9561e9e56f1330d820cdd0512b444b0b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYfa5b8b9e552f34e4e02144d82bdbbb60
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Quotient-transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYfa5b8b9e552f34e4e02144d82bdbbb60

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY3576f92402fcdccc4a97973cdb75789b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intersection-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY3576f92402fcdccc4a97973cdb75789b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb31f110fba57fc68a0e1b32b1d59585b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Join-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYb31f110fba57fc68a0e1b32b1d59585b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcd68c2296c274fb9fa798d72ab366cbd
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Trim subgroup property
wiki page sort key: Characteristic subgroup# QUERYcd68c2296c274fb9fa798d72ab366cbd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1b456ec4996b72e708093db3b324149a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Inverse image condition
wiki page sort key: Characteristic subgroup# QUERY1b456ec4996b72e708093db3b324149a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5a2c3563f66829388369d6befe10fc5b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Image condition
wiki page sort key: Characteristic subgroup# QUERY5a2c3563f66829388369d6befe10fc5b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa7e402d12f33041c6c552054247d3668
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Centralizer-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYa7e402d12f33041c6c552054247d3668

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcb0866fccdc93b34c9a9e8ea4b10f068
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYcb0866fccdc93b34c9a9e8ea4b10f068

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY77907eac27a7d83138e52568cc2edcbc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intermediate subgroup condition
wiki page sort key: Characteristic subgroup# QUERY77907eac27a7d83138e52568cc2edcbc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbe7bc32d19636a5a94c49792ea6aa8f2
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transfer condition
wiki page sort key: Characteristic subgroup# QUERYbe7bc32d19636a5a94c49792ea6aa8f2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY1b9ad510a4fff1d4a4c02ec1d3b1b3a1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Quotient-transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERY1b9ad510a4fff1d4a4c02ec1d3b1b3a1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbb3b2a447559dd7124d69f55a34dbf71
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intersection-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYbb3b2a447559dd7124d69f55a34dbf71

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY603b894b9bdc4a69dbfc9d68d1d0fe9a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Join-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY603b894b9bdc4a69dbfc9d68d1d0fe9a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYaf9506c9f05870bd49466e9cc1dbcaa6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Trim subgroup property
wiki page sort key: Characteristic subgroup# QUERYaf9506c9f05870bd49466e9cc1dbcaa6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY970074efe53a8f46068be0aa19a6cb47
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Inverse image condition
wiki page sort key: Characteristic subgroup# QUERY970074efe53a8f46068be0aa19a6cb47

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe7053561254024021bd21575a2157689
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Image condition
wiki page sort key: Characteristic subgroup# QUERYe7053561254024021bd21575a2157689

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY842b14971a0d68b8173876ab44b3ada9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Centralizer-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY842b14971a0d68b8173876ab44b3ada9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbfe95b507d82b01833739b1701f1c428
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic central factor
wiki page sort key: Characteristic subgroup# QUERYbfe95b507d82b01833739b1701f1c428

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcd0bef60c610c7b2465feee939d26aac
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic central factor
wiki page sort key: Characteristic subgroup# QUERYcd0bef60c610c7b2465feee939d26aac

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcad13c2465dba94d713d233ea65bebe9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Conjugacy-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYcad13c2465dba94d713d233ea65bebe9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY66ffbd41f8709a69431490bf56ae4ccc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Conjugacy-closed characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY66ffbd41f8709a69431490bf56ae4ccc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY25963084d0acf267f30708750bd46952
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic transitively normal subgroup
wiki page sort key: Characteristic subgroup# QUERY25963084d0acf267f30708750bd46952

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY776a7372d20037dca5f04451399eeca3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic transitively normal subgroup
wiki page sort key: Characteristic subgroup# QUERY776a7372d20037dca5f04451399eeca3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYf2dfb75695d3c79ab5d8fc0ce2e27a54
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite index
wiki page sort key: Characteristic subgroup# QUERYf2dfb75695d3c79ab5d8fc0ce2e27a54

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY2a1279dee5e74e8f8298b86f216bef69
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite index
wiki page sort key: Characteristic subgroup# QUERY2a1279dee5e74e8f8298b86f216bef69

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcece0a4506b79982e792ae7e58496766
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 3
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYcece0a4506b79982e792ae7e58496766

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb46e142a35139698a20574a7376410f1
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Abelian characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYb46e142a35139698a20574a7376410f1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYce07e1f4c451b036dcbaf5bb7b050b26
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Abelian characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYce07e1f4c451b036dcbaf5bb7b050b26

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe989e9326fa47f0ae6aa82062c6280ab
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Nilpotent characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYe989e9326fa47f0ae6aa82062c6280ab

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa11bc73b56cd5c1600f6a8e1f2853154
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Nilpotent characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYa11bc73b56cd5c1600f6a8e1f2853154

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6618f2fa7b8c221e14f252bb7bf351a0
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Cyclic characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY6618f2fa7b8c221e14f252bb7bf351a0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY02ca209bc957d753f84b80cff82d3857
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Cyclic characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY02ca209bc957d753f84b80cff82d3857

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb7a6bca567ff20f89bf3d4474aae0f00
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Solvable characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYb7a6bca567ff20f89bf3d4474aae0f00

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY8e58908649c322fa359c70cc60515cb5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Solvable characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY8e58908649c322fa359c70cc60515cb5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY633f25086b6a0603aab8b3121ced4363
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Finite characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY633f25086b6a0603aab8b3121ced4363

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY3225b7fb4b80cd4ce5655c173371934d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Finite characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY3225b7fb4b80cd4ce5655c173371934d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY8949f4bac1dd08acea88cc9de987e9f4
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Perfect characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY8949f4bac1dd08acea88cc9de987e9f4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe0f2f68748c31a6404b50c756eba2e62
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Perfect characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYe0f2f68748c31a6404b50c756eba2e62

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc01e369c34bb80a30b248d56d3a6d338
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Simple characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYc01e369c34bb80a30b248d56d3a6d338

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcb704b90f80d548b16df5f2c1beacec3
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Simple characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYcb704b90f80d548b16df5f2c1beacec3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY4f3000bd3e72cd9442ec78b53216178e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 3
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY4f3000bd3e72cd9442ec78b53216178e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5b6aaf0c8426fd26d474c735410c6a28
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite group
wiki page sort key: Characteristic subgroup# QUERY5b6aaf0c8426fd26d474c735410c6a28

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYec4dcca50357e8e25082fffe2a4c12c8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite group
wiki page sort key: Characteristic subgroup# QUERYec4dcca50357e8e25082fffe2a4c12c8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY729d4e409f16571607a748f05b907053
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of abelian group
wiki page sort key: Characteristic subgroup# QUERY729d4e409f16571607a748f05b907053

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5215ed0fb4152858a385daa19ed3bbad
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of abelian group
wiki page sort key: Characteristic subgroup# QUERY5215ed0fb4152858a385daa19ed3bbad

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6c4eae9ec06fe36631bd2d1f20c9fccd
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Subgroup of cyclic group
wiki page sort key: Characteristic subgroup# QUERY6c4eae9ec06fe36631bd2d1f20c9fccd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY8e3d68a8d2ff1e23a95613aadbd8df83
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Subgroup of cyclic group
wiki page sort key: Characteristic subgroup# QUERY8e3d68a8d2ff1e23a95613aadbd8df83

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYd66310f6e7f4f65616fb20392a12e24f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite abelian group
wiki page sort key: Characteristic subgroup# QUERYd66310f6e7f4f65616fb20392a12e24f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY93bccd707c78262e32c16383c6e569f8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of finite abelian group
wiki page sort key: Characteristic subgroup# QUERY93bccd707c78262e32c16383c6e569f8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY918ded01e4682596880ef7d0a193ea15
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of nilpotent group
wiki page sort key: Characteristic subgroup# QUERY918ded01e4682596880ef7d0a193ea15

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYd7ed4d04965aab8cb99d8eaf8f793f78
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of nilpotent group
wiki page sort key: Characteristic subgroup# QUERYd7ed4d04965aab8cb99d8eaf8f793f78

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5098661c23f5b2b419f572f9c905f6a4
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of group of prime power order
wiki page sort key: Characteristic subgroup# QUERY5098661c23f5b2b419f572f9c905f6a4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY86d3afc1c74a0abc04485b3c28e29389
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of group of prime power order
wiki page sort key: Characteristic subgroup# QUERY86d3afc1c74a0abc04485b3c28e29389

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY0002b18e48460ec8ce54ea30778aa5c7
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Characteristic subgroup Characteristic subgroup of solvable group
wiki page sort key: Characteristic subgroup# QUERY0002b18e48460ec8ce54ea30778aa5c7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY489c02c66a5471fb28b477cd0f268f6b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Characteristic subgroup Characteristic subgroup of solvable group
wiki page sort key: Characteristic subgroup# QUERY489c02c66a5471fb28b477cd0f268f6b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5e2655e13ad05870c73678d116507e6e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Normal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Normal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY5e2655e13ad05870c73678d116507e6e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY9c20fd8454bcc1441e1ba02d01c45f2f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY9c20fd8454bcc1441e1ba02d01c45f2f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY4e47f44a59a6362fe976eceed7a72aad
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query format: plainlist
query size: 4
query string: Normal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY4e47f44a59a6362fe976eceed7a72aad

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYffea599966136912409925611f23a7ac
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYffea599966136912409925611f23a7ac

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY71ff367159e37f6299e2dadd7cc2da42
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY71ff367159e37f6299e2dadd7cc2da42

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbd6092293b9f4f205574c979a8a7e266
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYbd6092293b9f4f205574c979a8a7e266

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe748665390d832079effb6ab7450063f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Cofactorial automorphism-invariant subgroup Characteristic subgroup OR Satisfies property.Stronger than::Cofactorial automorphism-invariant subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYe748665390d832079effb6ab7450063f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7225d4b66f4e2b66c2f1bdb123842f9c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Cofactorial automorphism-invariant subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY7225d4b66f4e2b66c2f1bdb123842f9c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa2ea570295eeb524e8edfb2f3a668634
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Cofactorial automorphism-invariant subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYa2ea570295eeb524e8edfb2f3a668634

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY703d00c10221cfcb8c11d6672030baf9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Coprime automorphism-invariant subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY703d00c10221cfcb8c11d6672030baf9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7cc3370edb5c51054c42b271e6e8be64
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Coprime automorphism-invariant subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY7cc3370edb5c51054c42b271e6e8be64

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY84b9e1c95ef03188517b5246060f85b6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Coprime automorphism-invariant normal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY84b9e1c95ef03188517b5246060f85b6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY25f5deb71227dcc0170af8e79a3ab886
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Coprime automorphism-invariant normal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY25f5deb71227dcc0170af8e79a3ab886

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY26eae43ad995034c1acb1a2854853467
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Left-transitively 2-subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Left-transitively 2-subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY26eae43ad995034c1acb1a2854853467

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY063fecc27a5354e3e9a2d600c82a81f6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Left-transitively 2-subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY063fecc27a5354e3e9a2d600c82a81f6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY257c6a81e1748688da1e35e996e2f604
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Left-transitively 2-subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY257c6a81e1748688da1e35e996e2f604

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY28774feb4f1c5d5d409f7cfd2e05e794
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Left-transitively fixed-depth subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Left-transitively fixed-depth subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY28774feb4f1c5d5d409f7cfd2e05e794

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYcb0535d20cc4d7733d2d9c9bf1751f87
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Left-transitively fixed-depth subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYcb0535d20cc4d7733d2d9c9bf1751f87

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY5c2f552f62ec346663e78d9a7d08d1f9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Left-transitively fixed-depth subnormal subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY5c2f552f62ec346663e78d9a7d08d1f9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY427c649892c9858ab4b0970939ed27c6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Automorph-conjugate subgroup Characteristic subgroup OR Satisfies property.Stronger than::Automorph-conjugate subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY427c649892c9858ab4b0970939ed27c6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY8ce6e5cf2ebf6060595d26df6194f69f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Automorph-conjugate subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY8ce6e5cf2ebf6060595d26df6194f69f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY3e3142cba27ed1cbe1c8350dc6a7ebbb
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Automorph-conjugate subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY3e3142cba27ed1cbe1c8350dc6a7ebbb

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbaa48534184cd4a665c1489b56047baa
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Core-characteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Core-characteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYbaa48534184cd4a665c1489b56047baa

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY82ef2f51c5f2eb6ecde2f95f9ae0edcc
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Core-characteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY82ef2f51c5f2eb6ecde2f95f9ae0edcc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY4e01c1c6442473b95d77ab6ab481923b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Core-characteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY4e01c1c6442473b95d77ab6ab481923b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYf26a6397720d223d939b20e12501f088
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Closure-characteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Closure-characteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYf26a6397720d223d939b20e12501f088

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY44ab7d2361b862e17ca9f742275e61aa
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Closure-characteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY44ab7d2361b862e17ca9f742275e61aa

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYbbab77a5ed1817f5b2138ef7dd890706
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Closure-characteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYbbab77a5ed1817f5b2138ef7dd890706

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY01863e78f77ee70bb9e8f7d37dad0966
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Procharacteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Procharacteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY01863e78f77ee70bb9e8f7d37dad0966

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYd3a18f2db21b816d91e1206a5af42d58
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Procharacteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYd3a18f2db21b816d91e1206a5af42d58

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb6a72c49f3505848890d75ad4b10dd06
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Procharacteristic subgroup Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERYb6a72c49f3505848890d75ad4b10dd06

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY9813ececc8534fee4e5555b3e40ad625
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Characteristic subgroup
wiki page sort key: Characteristic subgroup# QUERY9813ececc8534fee4e5555b3e40ad625

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYef14d2b6f9e2830eb882b3d8d43b8828
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYef14d2b6f9e2830eb882b3d8d43b8828

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY53881db0e5fdaa9c368e031e2773fb27
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intermediate subgroup condition
wiki page sort key: Characteristic subgroup# QUERY53881db0e5fdaa9c368e031e2773fb27

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY90d30e1ff7d1f4a840d8433759908d5d
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transfer condition
wiki page sort key: Characteristic subgroup# QUERY90d30e1ff7d1f4a840d8433759908d5d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYff802c4276cdd032e5a87c54a10da58b
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Quotient-transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYff802c4276cdd032e5a87c54a10da58b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYded17ca13b4b9837edd560a91448f99c
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intersection-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYded17ca13b4b9837edd560a91448f99c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc4c5592a53a24840968ea58d28779d3f
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Join-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYc4c5592a53a24840968ea58d28779d3f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY124342af7182112386db3c517db89bb7
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Trim subgroup property
wiki page sort key: Characteristic subgroup# QUERY124342af7182112386db3c517db89bb7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY7f395da0b6f4dda84742b6a412b1679e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Inverse image condition
wiki page sort key: Characteristic subgroup# QUERY7f395da0b6f4dda84742b6a412b1679e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY0ac6cf28d427b2c6a9627f7dfa2a85a0
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Image condition
wiki page sort key: Characteristic subgroup# QUERY0ac6cf28d427b2c6a9627f7dfa2a85a0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY9903ebc8159cc1e28fce0bacbf9c81e9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Centralizer-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY9903ebc8159cc1e28fce0bacbf9c81e9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYa96e14564a1990d3e0f41ac8784d47a5
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYa96e14564a1990d3e0f41ac8784d47a5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYb5349faa8747d9f49fb202c2fb987062
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intermediate subgroup condition
wiki page sort key: Characteristic subgroup# QUERYb5349faa8747d9f49fb202c2fb987062

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYd5b75fa1b9c1b95515fa6ea834c724b9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Transfer condition
wiki page sort key: Characteristic subgroup# QUERYd5b75fa1b9c1b95515fa6ea834c724b9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYf72f508fa24d8fc19165ad073425d30a
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Quotient-transitive subgroup property
wiki page sort key: Characteristic subgroup# QUERYf72f508fa24d8fc19165ad073425d30a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6fb2d77428634aa87e68666c0d2c8cbe
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Intersection-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY6fb2d77428634aa87e68666c0d2c8cbe

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY79ca6f0bc9bf997fe8531c37565abac9
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Join-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERY79ca6f0bc9bf997fe8531c37565abac9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYfd35f0f126e726de98792b1b2052676e
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Trim subgroup property
wiki page sort key: Characteristic subgroup# QUERYfd35f0f126e726de98792b1b2052676e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc9fb04dc9481bdac413a5d6da9bf8332
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Inverse image condition
wiki page sort key: Characteristic subgroup# QUERYc9fb04dc9481bdac413a5d6da9bf8332

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY0a2239614da0505b7dd0f77716fe0cb8
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Image condition
wiki page sort key: Characteristic subgroup# QUERY0a2239614da0505b7dd0f77716fe0cb8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYc3eff2e839f04fd2a62d38bff9c0e748
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Characteristic subgroup Centralizer-closed subgroup property
wiki page sort key: Characteristic subgroup# QUERYc3eff2e839f04fd2a62d38bff9c0e748

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe7955396f5bf66153df1ba4f6eab9191
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Second-order subgroup property
wiki page sort key: Characteristic subgroup# QUERYe7955396f5bf66153df1ba4f6eab9191

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY6aa24c02f8e67de24223fa849790e0e6
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Function restriction-expressible subgroup property
wiki page sort key: Characteristic subgroup# QUERY6aa24c02f8e67de24223fa849790e0e6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYda878a4b9f5ff2713c910190c3a8d6ad
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Relation implication-expressible subgroup property
wiki page sort key: Characteristic subgroup# QUERYda878a4b9f5ff2713c910190c3a8d6ad

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYab3deb33606903472662717bd3ca61c2
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: GAP-testable subgroup property
wiki page sort key: Characteristic subgroup# QUERYab3deb33606903472662717bd3ca61c2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERYe6c7e410aa0a9124a787ec94e3720a50
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: GAP-listable subgroup property
wiki page sort key: Characteristic subgroup# QUERYe6c7e410aa0a9124a787ec94e3720a50

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_subgroup-23_QUERY0db1d57349eaa4fa10fe190d719c5331
type: Subject
master page: Characteristic subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: GAP-codable subgroup property
wiki page sort key: Characteristic subgroup# QUERY0db1d57349eaa4fa10fe190d719c5331

Derived subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Derived_subgroup
wiki namespace: 0
wiki page content language: en
satisfies property: Characteristic subgroup
wiki page sort key: Derived subgroup

Center
type: Subject
page: https://groupprops.subwiki.org/wiki/Center
wiki namespace: 0
wiki page content language: en
satisfies property: Characteristic subgroup
wiki page sort key: Center

Center of dihedral group:D8
type: Subject
page: https://groupprops.subwiki.org/wiki/Center_of_dihedral_group-3AD8
wiki namespace: 0
wiki page content language: en
satisfies property: Characteristic subgroup
wiki page sort key: Center of dihedral group:D8

Characteristicity is transitive
type: Subject
page: https://groupprops.subwiki.org/wiki/Characteristicity_is_transitive
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Characteristic subgroup
wiki page sort key: Characteristicity is transitive
uses property satisfaction of: Characteristic subgroup

Derivation-invariant Lie subring
type: Subject
page: https://groupprops.subwiki.org/wiki/Derivation-2Dinvariant_Lie_subring
wiki namespace: 0
wiki page content language: en
analogue of: Characteristic subgroup
wiki page sort key: Derivation-invariant Lie subring

Isomorph-normal characteristic subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Isomorph-2Dnormal_characteristic_subgroup
wiki namespace: 0
wiki page content language: en
conjunction involving: Characteristic subgroup
wiki page sort key: Isomorph-normal characteristic subgroup
defining ingredient: Characteristic subgroup
stronger than: Characteristic subgroup

Characteristic implies normal
type: Subject
page: https://groupprops.subwiki.org/wiki/Characteristic_implies_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Characteristic subgroup
wiki page sort key: Characteristic implies normal

Critical subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Critical_subgroup
wiki namespace: 0
wiki page content language: en
defining ingredient: Characteristic subgroup
wiki page sort key: Critical subgroup

Direct factor of characteristic subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Direct_factor_of_characteristic_subgroup
wiki namespace: 0
wiki page content language: en
defining ingredient: Characteristic subgroup
wiki page sort key: Direct factor of characteristic subgroup
weaker than: Characteristic subgroup

Fully invariant subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Fully_invariant_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Characteristic subgroup
wiki page sort key: Fully invariant subgroup

Normal subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Normal_subgroup
wiki namespace: 0
wiki page content language: en
weaker than: Characteristic subgroup
wiki page sort key: Normal subgroup

Coprime automorphism-invariant subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Coprime_automorphism-2Dinvariant_subgroup
wiki namespace: 0
wiki page content language: en
weaker than: Characteristic subgroup
wiki page sort key: Coprime automorphism-invariant subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristicity_is_transitive-23_379a7510701925b6767a584c6105c9a1
type: Subject
master page: Characteristicity is transitive
wiki namespace: 0
wiki page sort key: Characteristicity is transitive#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
page: Characteristic subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_implies_normal-23_379a7510701925b6767a584c6105c9a1
type: Subject
master page: Characteristic implies normal
wiki namespace: 0
wiki page sort key: Characteristic implies normal#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
page: Characteristic subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_characteristic-23_379a7510701925b6767a584c6105c9a1
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_characteristic
wiki namespace: 0
wiki page sort key: Normal not implies characteristic#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
page: Characteristic subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_of_normal_implies_normal-23_9a34df27c99679c88be5eda450e18c0d
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_of_normal_implies_normal
wiki namespace: 0
wiki page sort key: Characteristic of normal implies normal#Characteristic subgroup# 9a34df27c99679c88be5eda450e18c0d
page: Characteristic subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristicity_is_not_upper_join-2Dclosed-23_379a7510701925b6767a584c6105c9a1
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristicity_is_not_upper_join-2Dclosed
wiki namespace: 0
wiki page sort key: Characteristicity is not upper join-closed#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
page: Characteristic subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristicity_is_not_finite_direct_power-2Dclosed-23_379a7510701925b6767a584c6105c9a1
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristicity_is_not_finite_direct_power-2Dclosed
wiki namespace: 0
wiki page sort key: Characteristicity is not finite direct power-closed#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
page: Characteristic subgroup

Satisfies property
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3ASatisfies_property
wiki namespace: 132
wiki page content language: en
wiki page sort key: Satisfies property
type: wpg

Proves property satisfaction of
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AProves_property_satisfaction_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Proves property satisfaction of

Analogue of
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AAnalogue_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Analogue of

Conjunction involving
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AConjunction_involving
wiki namespace: 132
wiki page content language: en
wiki page sort key: Conjunction involving

Uses property satisfaction of
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AUses_property_satisfaction_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Uses property satisfaction of

Defining ingredient
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3ADefining_ingredient
wiki namespace: 132
wiki page content language: en
wiki page sort key: Defining ingredient

Stronger than
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AStronger_than
wiki namespace: 132
wiki page content language: en
wiki page sort key: Stronger than

Weaker than
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AWeaker_than
wiki namespace: 132
wiki page content language: en
wiki page sort key: Weaker than

Page
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3APage
wiki namespace: 132
wiki page content language: en
wiki page sort key: Page