Subnormal subgroup
type: Ontology
creation date: 2026-01-14T23:23:12+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Subnormal subgroup
type: Subject
type: Category:Subgroup properties
type: Category:Semi-basic definitions in group theory
type: Category:Pages with math errors
type: Category:Terms in MSC class 20D35
type: Category:Standard terminology
type: Category:Pages with math render errors
page: https://groupprops.subwiki.org/wiki/Subnormal_subgroup
wiki namespace: 0
wiki page content language: en
applying operator gives: Join-transitively subnormal subgroup
applying operator gives: Join of finitely many subnormal subgroups
applying operator gives: Join of subnormal subgroups
applying operator gives: Intersection of subnormal subgroups
defining ingredient: Normal subgroup
defining ingredient: Subordination operator
dissatisfies metaproperty: Conditionally lattice-determined subgroup property
dissatisfies metaproperty: Commutator-closed subgroup property
dissatisfies metaproperty: Centralizer-closed subgroup property
dissatisfies metaproperty: Finite-join-closed subgroup property
dissatisfies metaproperty: Finite-upper join-closed subgroup property
importance rank: 2
MSC class: 20E15
obtained by applying: Subordination operator
page class: Term
satisfies metaproperty: Transitive subgroup property
satisfies metaproperty: Trim subgroup property
satisfies metaproperty: Intermediate subgroup condition
satisfies metaproperty: Transfer condition
satisfies metaproperty: GAP-testable subgroup property
satisfies metaproperty: Normalizing join-closed subgroup property
satisfies metaproperty: Permuting join-closed subgroup property
stronger than: Ascendant subgroup
stronger than: Descendant subgroup
stronger than: Serial subgroup
stronger than: Join of finitely many subnormal subgroups
stronger than: Join of subnormal subgroups
stronger than: Subpronormal subgroup
stronger than: Locally subnormal subgroup
stronger than: Almost subnormal subgroup
stronger than: Upper join of subnormal subgroups
weaker than: Normal subgroup
weaker than: 2-subnormal subgroup
weaker than: 3-subnormal subgroup
weaker than: 4-subnormal subgroup
weaker than: Finitarily hypernormalized subgroup
weaker than: Join-transitively subnormal subgroup
weaker than: Subnormal subgroup of finite group
weaker than: Permutable subgroup of finite group
weaker than: Conjugate-permutable subgroup of finite group
wiki page modification date: 2017-04-16T15:40:17Z
modification date#aux: 2457860.1529745
wiki page sort key: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_20d4d9789e180dd581722c375e5cf2fe
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#RobinsonGT
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ARobinsonGT

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_e0524233764f0aa59c0914c3335f26b1
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#AlperinBell
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AAlperinBell

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_f9b96b9bd9c33d6105731357a1b722f1
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#FGTAsch
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AFGTAsch

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_d08d93bb013af2fc216e5563064d6dbf
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#Gorenstein
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AGorenstein

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_e2a059b14fc07a3c78c7b74027a323ec
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#Wikipedia

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_a4622f2493ccc014f3d30b66caadaeeb
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#Planetmath

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_16a26d1b4371fa8a093bc480c9232937
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
wiki page sort key: Subnormal subgroup#Mathworld

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYae18e9461929612f10b6dfbb6e4dc36b
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYae18e9461929612f10b6dfbb6e4dc36b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY41713a384db44283d7003181e0d1c49d
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 5
query string: Subnormal subgroup 1
wiki page sort key: Subnormal subgroup# QUERY41713a384db44283d7003181e0d1c49d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYe6e9ce0b208a7b753322c94028016fd4
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 3
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYe6e9ce0b208a7b753322c94028016fd4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYaf92aac9628e25ccd5d9fe9b9b0f3bb7
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYaf92aac9628e25ccd5d9fe9b9b0f3bb7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY4753f4411dee106d974132676e566657
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 3
query string: Survey article about.Defining ingredient::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY4753f4411dee106d974132676e566657

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY331a4685db32cd32655bd3c910381e65
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY331a4685db32cd32655bd3c910381e65

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYdc344ec7fc8b93c26c3427bf4b767a44
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYdc344ec7fc8b93c26c3427bf4b767a44

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY362c7267852be057ae6fd7112b45b1ef
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY362c7267852be057ae6fd7112b45b1ef

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYa30800293e5c771f8b3f8331d62dee33
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYa30800293e5c771f8b3f8331d62dee33

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY2f4b7c78fbd55c940704a4cd8bc4fadd
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY2f4b7c78fbd55c940704a4cd8bc4fadd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYb49a4734298f8f120c2c431305729079
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYb49a4734298f8f120c2c431305729079

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY6208013a554c0c3d500723cb84c0196a
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY6208013a554c0c3d500723cb84c0196a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY9b6fac0e5667f960450a77e3b8db4eac
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY9b6fac0e5667f960450a77e3b8db4eac

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY34186dcb434b90707ffd37b91f06bb33
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: plainlist
query size: 4
query string: Fact about.Page::Subnormal subgroup
query string: Fact about.Page::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY34186dcb434b90707ffd37b91f06bb33

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY24461021a3111e65b100d1e276d155ec
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY24461021a3111e65b100d1e276d155ec

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYbaed7fd038c68c56daaa82f38ee8c37c
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: table
query size: 2
query string: Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYbaed7fd038c68c56daaa82f38ee8c37c

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

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY69849ef11a57f0ef529be2a329c8f904
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 6
query string: Subnormal subgroup OR Satisfies property.Stronger than::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY69849ef11a57f0ef529be2a329c8f904

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYc6337a15e87e827cd3205ab8974e4581
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 6
query string: Subnormal subgroup OR Dissatisfies property.Weaker than::Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYc6337a15e87e827cd3205ab8974e4581

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYd1ed1b2dc2181a8e6fe4090ab682cce9
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Subordination operator
wiki page sort key: Subnormal subgroup# QUERYd1ed1b2dc2181a8e6fe4090ab682cce9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYf7b84f9f6d8ba202fe0c47045bdbe15f
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Normal subgroup
wiki page sort key: Subnormal subgroup# QUERYf7b84f9f6d8ba202fe0c47045bdbe15f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYf6020e1a3d6ec9e86245afacfe3cbb0c
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Normal subgroup
wiki page sort key: Subnormal subgroup# QUERYf6020e1a3d6ec9e86245afacfe3cbb0c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY0a3b1272ca521bc3bd576132827298ce
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Finitarily hypernormalized subgroup
wiki page sort key: Subnormal subgroup# QUERY0a3b1272ca521bc3bd576132827298ce

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYe1c22995191d1bffc067001efb6f4e4c
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Finitarily hypernormalized subgroup
wiki page sort key: Subnormal subgroup# QUERYe1c22995191d1bffc067001efb6f4e4c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYe4d52fe01b58db67dabb815c1bcaf524
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup 2-subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYe4d52fe01b58db67dabb815c1bcaf524

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYb9b6826087a80b9af82f03c3aaff834f
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup 2-subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYb9b6826087a80b9af82f03c3aaff834f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYec3680b03ee6a15e458ef5fd761b2e60
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 3-subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYec3680b03ee6a15e458ef5fd761b2e60

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYeac2c0fc54df6deeecaca49586174a30
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 3-subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYeac2c0fc54df6deeecaca49586174a30

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYcd7d3d4cc2c94c9f096deff316d5e9a9
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 4-subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYcd7d3d4cc2c94c9f096deff316d5e9a9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYa2f79aebf355f75b10c9a36f9ef31f1b
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 4-subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYa2f79aebf355f75b10c9a36f9ef31f1b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY2b7706f4ae6bef93caba560fc44f3a08
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Join-transitively subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY2b7706f4ae6bef93caba560fc44f3a08

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY8add98c4736122cce26aa0e06b340a15
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Join-transitively subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY8add98c4736122cce26aa0e06b340a15

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY710fc221e88546274e347f264698a660
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Left-transitively fixed-depth subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY710fc221e88546274e347f264698a660

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYd32946471c0f6c9b8bfe8d1b4ae2e828
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Left-transitively fixed-depth subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYd32946471c0f6c9b8bfe8d1b4ae2e828

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYb109a820f2ac23f7e95c8c91da5e59cf
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subnormal subgroup Right-transitively fixed-depth subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYb109a820f2ac23f7e95c8c91da5e59cf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYdb9c14e30642a73d1102883189d2daa6
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subnormal subgroup Right-transitively fixed-depth subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYdb9c14e30642a73d1102883189d2daa6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY62761f1cc1522d6cbea5893aafabef4a
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Ascendant subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY62761f1cc1522d6cbea5893aafabef4a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY128e18cf27c44c4418625a8fc909a050
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Ascendant subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY128e18cf27c44c4418625a8fc909a050

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY54bf72f1587089c2f3cb44f74889c886
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Descendant subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY54bf72f1587089c2f3cb44f74889c886

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY7519e0d31f0a93761c330853f75d479e
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Descendant subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY7519e0d31f0a93761c330853f75d479e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYb4ac30194d1c0848dd67c4b444824a21
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Serial subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYb4ac30194d1c0848dd67c4b444824a21

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYb9a7bad570c0eb132c5aef4f6d4a8477
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Serial subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYb9a7bad570c0eb132c5aef4f6d4a8477

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY829d18146ca9422204633f4f3fea2649
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Subpronormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY829d18146ca9422204633f4f3fea2649

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY545de47dcfee442ca4112a52e5030f3f
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Subpronormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY545de47dcfee442ca4112a52e5030f3f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY89e8c5aff3092201496d35acc7454c44
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Locally subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY89e8c5aff3092201496d35acc7454c44

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERYf30b34dd5694d33d623f15ee19e4af19
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Locally subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERYf30b34dd5694d33d623f15ee19e4af19

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY5269afadc896a7e65243e7b1148707a6
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Almost subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY5269afadc896a7e65243e7b1148707a6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup-23_QUERY0e7066854647f30ea05bb15b2ed52169
type: Subject
master page: Subnormal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Almost subnormal subgroup Subnormal subgroup
wiki page sort key: Subnormal subgroup# QUERY0e7066854647f30ea05bb15b2ed52169

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

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

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

Pronormal and subnormal implies normal
type: Subject
page: https://groupprops.subwiki.org/wiki/Pronormal_and_subnormal_implies_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Subnormal subgroup
wiki page sort key: Pronormal and subnormal implies normal

Nilpotent group
type: Subject
page: https://groupprops.subwiki.org/wiki/Nilpotent_group
wiki namespace: 0
wiki page content language: en
defining ingredient: Subnormal subgroup
wiki page sort key: Nilpotent group

Simple group
type: Subject
page: https://groupprops.subwiki.org/wiki/Simple_group
wiki namespace: 0
wiki page content language: en
defining ingredient: Subnormal subgroup
wiki page sort key: Simple group

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

Characteristic subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Characteristic_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Subnormal subgroup
wiki page sort key: Characteristic 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
stronger than: Subnormal subgroup
wiki page sort key: Direct factor of characteristic subgroup

Direct factor of fully invariant subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Direct_factor_of_fully_invariant_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Subnormal subgroup
wiki page sort key: Direct factor of fully invariant subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Pronormal_and_subnormal_implies_normal-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: Pronormal and subnormal implies normal
wiki namespace: 0
wiki page sort key: Pronormal and subnormal implies normal#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Nilpotent_implies_every_subgroup_is_subnormal-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Nilpotent_implies_every_subgroup_is_subnormal
wiki namespace: 0
wiki page sort key: Nilpotent implies every subgroup is subnormal#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Metabelian_implies_subnormal_join_property-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Metabelian_implies_subnormal_join_property
wiki namespace: 0
wiki page sort key: Metabelian implies subnormal join property#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Every_subgroup_is_subnormal_implies_normalizer_condition-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Every_subgroup_is_subnormal_implies_normalizer_condition
wiki namespace: 0
wiki page sort key: Every subgroup is subnormal implies normalizer condition#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_not_implies_conjugate-2Dpermutable-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_not_implies_conjugate-2Dpermutable
wiki namespace: 0
wiki page sort key: Subnormal not implies conjugate-permutable#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Descendant_not_implies_subnormal-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Descendant_not_implies_subnormal
wiki namespace: 0
wiki page sort key: Descendant not implies subnormal#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_not_implies_normal-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_not_implies_normal
wiki namespace: 0
wiki page sort key: Subnormal not implies normal#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Ascendant_not_implies_subnormal-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Ascendant_not_implies_subnormal
wiki namespace: 0
wiki page sort key: Ascendant not implies subnormal#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal
wiki namespace: 0
wiki page sort key: Permutable and subnormal implies join-transitively subnormal#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_left-2Dtransitively_fixed-2Ddepth_subnormal-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_left-2Dtransitively_fixed-2Ddepth_subnormal
wiki namespace: 0
wiki page sort key: Normal not implies left-transitively fixed-depth subnormal#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/3-2Dsubnormal_not_implies_finite-2Dautomorph-2Djoin-2Dclosed_subnormal-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/3-2Dsubnormal_not_implies_finite-2Dautomorph-2Djoin-2Dclosed_subnormal
wiki namespace: 0
wiki page sort key: 3-subnormal not implies finite-automorph-join-closed subnormal#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_right-2Dtransitively_fixed-2Ddepth_subnormal-23_8e326c9107ad6be77fc7a2c282625810
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_right-2Dtransitively_fixed-2Ddepth_subnormal
wiki namespace: 0
wiki page sort key: Normal not implies right-transitively fixed-depth subnormal#Subnormal subgroup;2# 8e326c9107ad6be77fc7a2c282625810
page: Subnormal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/4-2Dsubnormal_not_implies_finite-2Dconjugate-2Djoin-2Dclosed_subnormal-23_c5f02e0deaac6be782c0f6e57934c912
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/4-2Dsubnormal_not_implies_finite-2Dconjugate-2Djoin-2Dclosed_subnormal
wiki namespace: 0
wiki page sort key: 4-subnormal not implies finite-conjugate-join-closed subnormal#Subnormal subgroup# c5f02e0deaac6be782c0f6e57934c912
page: Subnormal subgroup

Applying operator gives
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AApplying_operator_gives
wiki namespace: 132
wiki page content language: en
wiki page sort key: Applying operator gives

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

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