Normal subgroup
type: Ontology
creation date: 2025-12-21T23:56:46+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Normal subgroup
type: Subject
type: Category:Basic definitions in group theory
type: Category:Pivotal subgroup properties
type: Category:Subgroup properties
type: Category:Properties expressible using the relation implication formalism
type: Category:GAP-listable subgroup properties
type: Category:Standard terminology
page: https://groupprops.subwiki.org/wiki/Normal_subgroup
wiki namespace: 0
wiki page content language: en
defining ingredient: Inner automorphism
defining ingredient: Conjugate subgroups
defining ingredient: Conjugacy class
defining ingredient: Commutator of two subgroups
definition style: tabular
dissatisfies metaproperty: Transitive subgroup property
dissatisfies metaproperty: Conditionally lattice-determined subgroup property
importance rank: 1
left side of function restriction expression: Inner automorphism
left side of function restriction expression: Class-preserving automorphism
left side of function restriction expression: Subgroup-conjugating automorphism
left side of function restriction expression: Normal automorphism
left side of function restriction expression: Weakly normal automorphism
left side of function restriction expression: Monomial automorphism
left side of function restriction expression: Strong monomial automorphism
page class: Term
quick phrase: invariant under inner automorphisms, self-conjugate subgroup
quick phrase: same left and right cosets
quick phrase: kernel of a homomorphism
quick phrase: subgroup that is a union of conjugacy classes
satisfies metaproperty: Invariance property
satisfies metaproperty: Endo-invariance property
satisfies metaproperty: Auto-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: Intermediate subgroup condition
satisfies metaproperty: Transfer condition
satisfies metaproperty: Image condition
satisfies metaproperty: Inverse image condition
satisfies metaproperty: Upper join-closed subgroup property
satisfies metaproperty: Commutator-closed subgroup property
satisfies metaproperty: Centralizer-closed subgroup property
satisfies metaproperty: Direct product-closed subgroup property
satisfies metaproperty: Finite direct power-closed subgroup property
satisfies metaproperty: Arguesian subgroup property
satisfies metaproperty: Lower central series condition
satisfies metaproperty: Partition difference condition
satisfies metaproperty: First-order subgroup property
satisfies metaproperty: GAP-testable subgroup property
stronger than: Subnormal subgroup
stronger than: Permutable subgroup
stronger than: 2-subnormal subgroup
stronger than: 3-subnormal subgroup
stronger than: 4-subnormal subgroup
stronger than: Ascendant subgroup
stronger than: Descendant subgroup
stronger than: Serial subgroup
stronger than: Hypernormalized subgroup
stronger than: Finitarily hypernormalized subgroup
stronger than: 2-hypernormalized subgroup
stronger than: Pronormal subgroup
stronger than: Weakly pronormal subgroup
stronger than: Paranormal subgroup
stronger than: Weakly normal subgroup
stronger than: Intermediately subnormal-to-normal subgroup
stronger than: Conjugate-permutable subgroup
stronger than: Modular subgroup
stronger than: Automorph-permutable subgroup
stronger than: Elliptic subgroup
weaker than: Characteristic subgroup
weaker than: Central factor
weaker than: Direct factor
weaker than: Central subgroup
weaker than: Fully invariant subgroup
weaker than: Strictly characteristic subgroup
weaker than: Isomorph-free subgroup
weaker than: Isomorph-containing subgroup

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text: formal definition
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text: definition in paragraph
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number: 15
text: Proposition 1.3.15
text: definition introduced through proposition
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query string: Normal subgroup Injective endomorphism-invariant subgroup
wiki page sort key: Normal subgroup# QUERY0d8e0ecf0ab6316667c9e84e79f0b6d5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY913c0e0e326a02410ff75091352ec0d5
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Injective endomorphism-invariant subgroup
wiki page sort key: Normal subgroup# QUERY913c0e0e326a02410ff75091352ec0d5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYd147b46253d9ca488d31df182e0dbf42
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Normal subgroup Transitively normal subgroup OR Satisfies property.Stronger than::Normal subgroup Dissatisfies property.Weaker than::Transitively normal subgroup
wiki page sort key: Normal subgroup# QUERYd147b46253d9ca488d31df182e0dbf42

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY858b61112bf5bade65ceaae847884101
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Transitively normal subgroup
wiki page sort key: Normal subgroup# QUERY858b61112bf5bade65ceaae847884101

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY748606a75072daf9608a3fbad7f0582d
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Transitively normal subgroup
wiki page sort key: Normal subgroup# QUERY748606a75072daf9608a3fbad7f0582d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY42ac06f91d1e0500f0563382442b6293
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Cocentral subgroup
wiki page sort key: Normal subgroup# QUERY42ac06f91d1e0500f0563382442b6293

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY5f465e6453117310c354e575eee8be10
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Cocentral subgroup
wiki page sort key: Normal subgroup# QUERY5f465e6453117310c354e575eee8be10

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc6d9ac2eb850bf4277ed51ffbfa401c0
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup SCAB-subgroup
wiki page sort key: Normal subgroup# QUERYc6d9ac2eb850bf4277ed51ffbfa401c0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYd585600cf8e0610605d7a62108016a8f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup SCAB-subgroup
wiki page sort key: Normal subgroup# QUERYd585600cf8e0610605d7a62108016a8f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY3b3dc8b891687b9e7ba4a6e3b1396c47
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Conjugacy-closed normal subgroup
wiki page sort key: Normal subgroup# QUERY3b3dc8b891687b9e7ba4a6e3b1396c47

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY19a445265ece2a55b784fc083f45f48b
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Conjugacy-closed normal subgroup
wiki page sort key: Normal subgroup# QUERY19a445265ece2a55b784fc083f45f48b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY5be1aec3de6b5b3566cc4f9b7625508b
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Abelian-quotient subgroup
wiki page sort key: Normal subgroup# QUERY5be1aec3de6b5b3566cc4f9b7625508b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY348f2ecfda328cdd36b3b2e8d71aca54
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Abelian-quotient subgroup
wiki page sort key: Normal subgroup# QUERY348f2ecfda328cdd36b3b2e8d71aca54

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY07226e4e68933303132e164f45e0abc6
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Complemented normal subgroup
wiki page sort key: Normal subgroup# QUERY07226e4e68933303132e164f45e0abc6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY75837d410a46d534ee0b62a3016bacc0
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Complemented normal subgroup
wiki page sort key: Normal subgroup# QUERY75837d410a46d534ee0b62a3016bacc0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYd0fee4ab3e3fd82ac1510ef8d8de732c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Endomorphism kernel
wiki page sort key: Normal subgroup# QUERYd0fee4ab3e3fd82ac1510ef8d8de732c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2fdcbba877128ec342c5f7ff1564c9ac
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Endomorphism kernel
wiki page sort key: Normal subgroup# QUERY2fdcbba877128ec342c5f7ff1564c9ac

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY972e76d6041ceef4207b3efe282a6eb8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Normal subgroup
wiki page sort key: Normal subgroup# QUERY972e76d6041ceef4207b3efe282a6eb8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1abd356b7235ade8dcb8ea077793268b
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transitive subgroup property
wiki page sort key: Normal subgroup# QUERY1abd356b7235ade8dcb8ea077793268b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY15d197bc905c1dc6d3b3e7688ae985be
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intermediate subgroup condition
wiki page sort key: Normal subgroup# QUERY15d197bc905c1dc6d3b3e7688ae985be

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYce1386ceceff6694b5023c889dbc557c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transfer condition
wiki page sort key: Normal subgroup# QUERYce1386ceceff6694b5023c889dbc557c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9c63059a47b6003115cd048ea971dbd2
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Quotient-transitive subgroup property
wiki page sort key: Normal subgroup# QUERY9c63059a47b6003115cd048ea971dbd2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY695667b2906321529bd65e881e2be47a
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intersection-closed subgroup property
wiki page sort key: Normal subgroup# QUERY695667b2906321529bd65e881e2be47a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2c7d3aff54c4d95b5c794d5575d7a415
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Join-closed subgroup property
wiki page sort key: Normal subgroup# QUERY2c7d3aff54c4d95b5c794d5575d7a415

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY799bb80e9d0cfb3899b640c04e3c19d2
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Trim subgroup property
wiki page sort key: Normal subgroup# QUERY799bb80e9d0cfb3899b640c04e3c19d2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY17ecc2c444d3e27d87dbfb301ea7c779
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Inverse image condition
wiki page sort key: Normal subgroup# QUERY17ecc2c444d3e27d87dbfb301ea7c779

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY83158f58f995d495f96596479df24259
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Image condition
wiki page sort key: Normal subgroup# QUERY83158f58f995d495f96596479df24259

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYa8307302ac658a50ce8a112242ca9034
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Centralizer-closed subgroup property
wiki page sort key: Normal subgroup# QUERYa8307302ac658a50ce8a112242ca9034

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYe7e1d8a0cdab32b30b9da9833ecd778d
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transitive subgroup property
wiki page sort key: Normal subgroup# QUERYe7e1d8a0cdab32b30b9da9833ecd778d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY08585614d84cf0aa91326a4794095376
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intermediate subgroup condition
wiki page sort key: Normal subgroup# QUERY08585614d84cf0aa91326a4794095376

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY77c83b47222e2fe0c7524d7140b9adfa
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transfer condition
wiki page sort key: Normal subgroup# QUERY77c83b47222e2fe0c7524d7140b9adfa

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY0a71ef18d92ffd732a7b4b0c0981304d
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Quotient-transitive subgroup property
wiki page sort key: Normal subgroup# QUERY0a71ef18d92ffd732a7b4b0c0981304d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYcb0c5ef39b26d4bd6942ce38a8106df6
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intersection-closed subgroup property
wiki page sort key: Normal subgroup# QUERYcb0c5ef39b26d4bd6942ce38a8106df6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2865cc2543ed841ec84994c96ca4488a
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Join-closed subgroup property
wiki page sort key: Normal subgroup# QUERY2865cc2543ed841ec84994c96ca4488a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY4de746b0da09f52ba516d8395a93f931
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Trim subgroup property
wiki page sort key: Normal subgroup# QUERY4de746b0da09f52ba516d8395a93f931

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYf5f8b53c39182d14d9bba5bfa8a60af6
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Inverse image condition
wiki page sort key: Normal subgroup# QUERYf5f8b53c39182d14d9bba5bfa8a60af6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2a33ee61e0a782a4c9421152fcb609ae
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Image condition
wiki page sort key: Normal subgroup# QUERY2a33ee61e0a782a4c9421152fcb609ae

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYe91dd55def623296b0a0b75eed44b261
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Centralizer-closed subgroup property
wiki page sort key: Normal subgroup# QUERYe91dd55def623296b0a0b75eed44b261

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYbb2e744c7f2d398de12df5d8dca34113
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal Sylow subgroup
wiki page sort key: Normal subgroup# QUERYbb2e744c7f2d398de12df5d8dca34113

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1381938f0dbe0c4fa5aa7026f8fa084e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal Sylow subgroup
wiki page sort key: Normal subgroup# QUERY1381938f0dbe0c4fa5aa7026f8fa084e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYacebb6b1c353b5c3b4a0c7135e98e6dc
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal Hall subgroup
wiki page sort key: Normal subgroup# QUERYacebb6b1c353b5c3b4a0c7135e98e6dc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY37a49c0b7007c4ebb73e8a20c929d8be
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal Hall subgroup
wiki page sort key: Normal subgroup# QUERY37a49c0b7007c4ebb73e8a20c929d8be

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY223261f58598ba84a7be179fd0334f35
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 3
query string: Normal subgroup
wiki page sort key: Normal subgroup# QUERY223261f58598ba84a7be179fd0334f35

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYa8da33c55c329912413a1a153f48e786
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Abelian normal subgroup
wiki page sort key: Normal subgroup# QUERYa8da33c55c329912413a1a153f48e786

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY29a0ad8e6dad7747a71d8cb316f00545
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Abelian normal subgroup
wiki page sort key: Normal subgroup# QUERY29a0ad8e6dad7747a71d8cb316f00545

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYca8a74f6e3e9a9e2163cf76b334f2baf
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Cyclic normal subgroup
wiki page sort key: Normal subgroup# QUERYca8a74f6e3e9a9e2163cf76b334f2baf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY88b0bfd83109a82cfe06938e03cd5142
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Cyclic normal subgroup
wiki page sort key: Normal subgroup# QUERY88b0bfd83109a82cfe06938e03cd5142

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2a97f247c29be37dc27a1a779ec710d1
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Solvable normal subgroup
wiki page sort key: Normal subgroup# QUERY2a97f247c29be37dc27a1a779ec710d1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYef9b2582b4631210c475d3226c3e741e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Solvable normal subgroup
wiki page sort key: Normal subgroup# QUERYef9b2582b4631210c475d3226c3e741e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9ca760bcbbc6e6314271b8b5d47325a4
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Nilpotent normal subgroup
wiki page sort key: Normal subgroup# QUERY9ca760bcbbc6e6314271b8b5d47325a4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY03a91878cde4d3a260df5595f9c0aa3e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Nilpotent normal subgroup
wiki page sort key: Normal subgroup# QUERY03a91878cde4d3a260df5595f9c0aa3e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY554ebfb701e0f17763dec1710f42a53a
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Simple normal subgroup
wiki page sort key: Normal subgroup# QUERY554ebfb701e0f17763dec1710f42a53a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY503a92b72ebbf1eb9891afc0bbaac0e4
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Simple normal subgroup
wiki page sort key: Normal subgroup# QUERY503a92b72ebbf1eb9891afc0bbaac0e4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYe80a4404c8085d01f4c1e63d21e5385d
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Perfect normal subgroup
wiki page sort key: Normal subgroup# QUERYe80a4404c8085d01f4c1e63d21e5385d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc2f479a0b3db41ad2138f0bf97b380b7
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Perfect normal subgroup
wiki page sort key: Normal subgroup# QUERYc2f479a0b3db41ad2138f0bf97b380b7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY54d9a3eb224284c2d9b3ef19c503d81f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Finite normal subgroup
wiki page sort key: Normal subgroup# QUERY54d9a3eb224284c2d9b3ef19c503d81f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY61861fe68aef99971db130e62b22f5e7
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Finite normal subgroup
wiki page sort key: Normal subgroup# QUERY61861fe68aef99971db130e62b22f5e7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY4e79cdd57a66b1561a88a07cb4935cef
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Periodic normal subgroup
wiki page sort key: Normal subgroup# QUERY4e79cdd57a66b1561a88a07cb4935cef

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY3f477c2e2959b5d4524c4810dd9be087
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Periodic normal subgroup
wiki page sort key: Normal subgroup# QUERY3f477c2e2959b5d4524c4810dd9be087

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY69c6d02d2d7bafea432411eb6cd95d56
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Finitely generated normal subgroup
wiki page sort key: Normal subgroup# QUERY69c6d02d2d7bafea432411eb6cd95d56

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1a95d0842b679bb77fc59c553387a884
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Finitely generated normal subgroup
wiki page sort key: Normal subgroup# QUERY1a95d0842b679bb77fc59c553387a884

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY6b25569d8bbbf36ecbba7a9be75c45ae
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 3
query string: Normal subgroup
wiki page sort key: Normal subgroup# QUERY6b25569d8bbbf36ecbba7a9be75c45ae

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYf31b827d451399b0deba55f5457fd5f2
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal subgroup of finite group
wiki page sort key: Normal subgroup# QUERYf31b827d451399b0deba55f5457fd5f2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY42e63fb5864d588f05acfb6e69310494
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal subgroup of finite group
wiki page sort key: Normal subgroup# QUERY42e63fb5864d588f05acfb6e69310494

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY42ef17ccd05cd9e52e1b0ccc39f2d76f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal subgroup of finitely generated group
wiki page sort key: Normal subgroup# QUERY42ef17ccd05cd9e52e1b0ccc39f2d76f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1155ad96fad2c05c80982ff94cfa4551
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal subgroup of finitely generated group
wiki page sort key: Normal subgroup# QUERY1155ad96fad2c05c80982ff94cfa4551

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY55f688ccd869e22e621f589a647a08a1
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal subgroup of periodic group
wiki page sort key: Normal subgroup# QUERY55f688ccd869e22e621f589a647a08a1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY385b46d1b60be28ce9ad0bec2b265858
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal subgroup of periodic group
wiki page sort key: Normal subgroup# QUERY385b46d1b60be28ce9ad0bec2b265858

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYfc004588ab0a495d5b5bd504fa0baea3
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal subgroup Normal subgroup of group of prime power order
wiki page sort key: Normal subgroup# QUERYfc004588ab0a495d5b5bd504fa0baea3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY34dafa8bc9526c108d034cfc1ff44d42
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal subgroup Normal subgroup of group of prime power order
wiki page sort key: Normal subgroup# QUERY34dafa8bc9526c108d034cfc1ff44d42

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYba3d8b8b615bf56d26809f01986bdec1
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Subnormal subgroup Normal subgroup OR Satisfies property.Stronger than::Subnormal subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERYba3d8b8b615bf56d26809f01986bdec1

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

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

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY55aafc6321a77d2e7ca455b7f40ef8db
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Permutable subgroup Normal subgroup OR Satisfies property.Stronger than::Permutable subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERY55aafc6321a77d2e7ca455b7f40ef8db

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYb3e6f92193abd8c20e9df538258c6fbf
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYb3e6f92193abd8c20e9df538258c6fbf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY46bd94f62db71cb511bd436cc764e155
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY46bd94f62db71cb511bd436cc764e155

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2c85ce62eefbc2bcc8f9cb614e79c5cf
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: 2-subnormal subgroup Normal subgroup OR Satisfies property.Stronger than::2-subnormal subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERY2c85ce62eefbc2bcc8f9cb614e79c5cf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY7e9c5f788a0f7f2578dbed6c93c4603a
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 2-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY7e9c5f788a0f7f2578dbed6c93c4603a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY033f4b410f5566f6746c0de2b0b1da3c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 2-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY033f4b410f5566f6746c0de2b0b1da3c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY2566d13d79d9cdc05837886ed4a45169
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 3-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY2566d13d79d9cdc05837886ed4a45169

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY100d1b2318d81792ec5c032df09da64e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 3-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY100d1b2318d81792ec5c032df09da64e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY7deaf8fa91ed565f47fa45a1b89729e8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 4-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY7deaf8fa91ed565f47fa45a1b89729e8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYd8da476554f746be73d5f8681084c3c5
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 4-subnormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYd8da476554f746be73d5f8681084c3c5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc3451cbc42097baaad049996e31433be
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Ascendant subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYc3451cbc42097baaad049996e31433be

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY48bb485361679b570e76fecb0f21e279
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Ascendant subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY48bb485361679b570e76fecb0f21e279

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY10fbe0c8a2282f57f7a95e60fbdbe501
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Descendant subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY10fbe0c8a2282f57f7a95e60fbdbe501

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYaf12fbaed01f0096df63af25c4531e55
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Descendant subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYaf12fbaed01f0096df63af25c4531e55

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY41e0d4a6eb1ef60fee6f9bd85f84e2db
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Serial subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY41e0d4a6eb1ef60fee6f9bd85f84e2db

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYbee8b7b09180c56fb6cca83812294843
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Serial subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYbee8b7b09180c56fb6cca83812294843

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYef01a5eb7bd088f3987142fecda2f7c8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Hypernormalized subgroup Normal subgroup OR Satisfies property.Stronger than::Hypernormalized subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERYef01a5eb7bd088f3987142fecda2f7c8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYb8b9908e56ae17d3ffb40097e38cc780
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYb8b9908e56ae17d3ffb40097e38cc780

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYda606975cefba2901acf18a658cc5346
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYda606975cefba2901acf18a658cc5346

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYbe66a06fb6e4079bedad735f24290f60
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Finitarily hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYbe66a06fb6e4079bedad735f24290f60

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY42e483b96490759e3acd21dbf044e48f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Finitarily hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY42e483b96490759e3acd21dbf044e48f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY70039e7a5d9f95620651e5b1d3f9d8b5
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: 2-hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY70039e7a5d9f95620651e5b1d3f9d8b5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYe5f83f1605204987e20e4d67a8ca1d44
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: 2-hypernormalized subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYe5f83f1605204987e20e4d67a8ca1d44

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY8eeed09123e773f0f08ad10c7956346f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Pronormal subgroup Normal subgroup OR Satisfies property.Stronger than::Pronormal subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERY8eeed09123e773f0f08ad10c7956346f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY3858b734ffa2c47da16698c4f10b9be8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Pronormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY3858b734ffa2c47da16698c4f10b9be8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY74e70dcda0411658bd6dc56f6f9dc898
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Pronormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY74e70dcda0411658bd6dc56f6f9dc898

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYeb3721e34df7b73156ea17363d6397d2
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Weakly pronormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYeb3721e34df7b73156ea17363d6397d2

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY09ac5a92054e1d92deeb9954fd6d6da8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Weakly pronormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY09ac5a92054e1d92deeb9954fd6d6da8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY5dde591c75e1d11356c2a9db1aaae92a
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Paranormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY5dde591c75e1d11356c2a9db1aaae92a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYb33c58e5c9a0cfc049c6c51f3951e0bc
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Paranormal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYb33c58e5c9a0cfc049c6c51f3951e0bc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYa8c9f5e486f7f24525d4b9849f6f1b69
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Weakly normal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYa8c9f5e486f7f24525d4b9849f6f1b69

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYfc7a04251792845c1502070c5078db97
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Weakly normal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYfc7a04251792845c1502070c5078db97

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY61ad1986d94491b40eef88047da2209c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 2
query format: table
query size: 12
query string: Intermediately subnormal-to-normal subgroup Normal subgroup OR Satisfies property.Stronger than::Intermediately subnormal-to-normal subgroup Dissatisfies property.Weaker than::Normal subgroup
wiki page sort key: Normal subgroup# QUERY61ad1986d94491b40eef88047da2209c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY4253ef2bef4696acaef54880205e0912
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Intermediately subnormal-to-normal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY4253ef2bef4696acaef54880205e0912

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY920741d2b9fccc848a0f1bce7e4a65f6
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Intermediately subnormal-to-normal subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY920741d2b9fccc848a0f1bce7e4a65f6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc9e4f5136feac1a62386504c043201a5
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Conjugate-permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYc9e4f5136feac1a62386504c043201a5

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYbedf548ed4f7153713de83a94754c2d8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Conjugate-permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERYbedf548ed4f7153713de83a94754c2d8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY80be5b90ac53f16544da80a3edc8b815
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Modular subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY80be5b90ac53f16544da80a3edc8b815

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY4261b550c798d1c9420c18d2414c5acf
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Modular subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY4261b550c798d1c9420c18d2414c5acf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY0e1c371f32c64d1cde2f05a08674315c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Automorph-permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY0e1c371f32c64d1cde2f05a08674315c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9c4908ef1a550bacb758d083e6568d35
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Automorph-permutable subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY9c4908ef1a550bacb758d083e6568d35

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY93a8c130d62ad68d7d4dd220c8f6318e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Elliptic subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY93a8c130d62ad68d7d4dd220c8f6318e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9fce2396c5ae781f394bc3b1df94bb10
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Elliptic subgroup Normal subgroup
wiki page sort key: Normal subgroup# QUERY9fce2396c5ae781f394bc3b1df94bb10

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY8b4c0e2bd505f26a6189004b530237da
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: Normal subgroup
wiki page sort key: Normal subgroup# QUERY8b4c0e2bd505f26a6189004b530237da

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1436b423ce52e26a0108e07975b3cb18
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transitive subgroup property
wiki page sort key: Normal subgroup# QUERY1436b423ce52e26a0108e07975b3cb18

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY18b5b095dc81037e43a3e2edc2e56e68
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intermediate subgroup condition
wiki page sort key: Normal subgroup# QUERY18b5b095dc81037e43a3e2edc2e56e68

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY796fc3fc74488edb080da442c5beee45
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transfer condition
wiki page sort key: Normal subgroup# QUERY796fc3fc74488edb080da442c5beee45

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9c2174940b8df2f53b944f8cefadd63d
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Quotient-transitive subgroup property
wiki page sort key: Normal subgroup# QUERY9c2174940b8df2f53b944f8cefadd63d

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc1fb6819c2aa071cbd27f1e602bffa2f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intersection-closed subgroup property
wiki page sort key: Normal subgroup# QUERYc1fb6819c2aa071cbd27f1e602bffa2f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYaf937d189458b8556e37a9880a8fd0f7
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Join-closed subgroup property
wiki page sort key: Normal subgroup# QUERYaf937d189458b8556e37a9880a8fd0f7

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY1769c40207644de88f578f16d6f6d086
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Trim subgroup property
wiki page sort key: Normal subgroup# QUERY1769c40207644de88f578f16d6f6d086

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY99eeca138eccaaad483a036089853cff
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Inverse image condition
wiki page sort key: Normal subgroup# QUERY99eeca138eccaaad483a036089853cff

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY5ebcd1c9371e88f35438c6481278fbac
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Image condition
wiki page sort key: Normal subgroup# QUERY5ebcd1c9371e88f35438c6481278fbac

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY8fe2b4fe70f257becbf43bdd488e3bc8
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Centralizer-closed subgroup property
wiki page sort key: Normal subgroup# QUERY8fe2b4fe70f257becbf43bdd488e3bc8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY84df9f57bad822c2e664ec1328618b12
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transitive subgroup property
wiki page sort key: Normal subgroup# QUERY84df9f57bad822c2e664ec1328618b12

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYeaaea7bb3a025c0a4a9e7d779ed25551
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intermediate subgroup condition
wiki page sort key: Normal subgroup# QUERYeaaea7bb3a025c0a4a9e7d779ed25551

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYac6517e4333dce3b23decd386ba067e0
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Transfer condition
wiki page sort key: Normal subgroup# QUERYac6517e4333dce3b23decd386ba067e0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYc96a6b8098983fefdeb0676f41b9c400
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Quotient-transitive subgroup property
wiki page sort key: Normal subgroup# QUERYc96a6b8098983fefdeb0676f41b9c400

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY3c7870e2bd1371130c62efea2ba2078c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Intersection-closed subgroup property
wiki page sort key: Normal subgroup# QUERY3c7870e2bd1371130c62efea2ba2078c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY7521dcd7a0b80d77d6324a90f9380aa6
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Join-closed subgroup property
wiki page sort key: Normal subgroup# QUERY7521dcd7a0b80d77d6324a90f9380aa6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYa15e37a19a626361c3d32db1453aa94f
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Trim subgroup property
wiki page sort key: Normal subgroup# QUERYa15e37a19a626361c3d32db1453aa94f

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY40d56ad677ce92ad4b4fb2b4f983f88e
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Inverse image condition
wiki page sort key: Normal subgroup# QUERY40d56ad677ce92ad4b4fb2b4f983f88e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY3aa97823b7919aeca479277cf3adb77b
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Image condition
wiki page sort key: Normal subgroup# QUERY3aa97823b7919aeca479277cf3adb77b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERY9eaaee73cae77655a6a06559853d99fd
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 4
query string: Normal subgroup Centralizer-closed subgroup property
wiki page sort key: Normal subgroup# QUERY9eaaee73cae77655a6a06559853d99fd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup-23_QUERYace4cf8572382388dca598b4cd088d8c
type: Subject
master page: Normal subgroup
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: First-order subgroup property
wiki page sort key: Normal subgroup# QUERYace4cf8572382388dca598b4cd088d8c

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

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

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

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

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

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

S3 in S5
type: Subject
page: https://groupprops.subwiki.org/wiki/S3_in_S5
wiki namespace: 0
wiki page content language: en
satisfies property: Normal subgroup
wiki page sort key: S3 in S5

S4 in S5
type: Subject
page: https://groupprops.subwiki.org/wiki/S4_in_S5
wiki namespace: 0
wiki page content language: en
satisfies property: Normal subgroup
wiki page sort key: S4 in S5

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: Normal subgroup
wiki page sort key: Center of dihedral group:D8

Normality is strongly intersection-closed
type: Subject
page: https://groupprops.subwiki.org/wiki/Normality_is_strongly_intersection-2Dclosed
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Normal subgroup
wiki page sort key: Normality is strongly intersection-closed
uses property satisfaction of: Normal subgroup

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

Normal subsemigroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Normal_subsemigroup
wiki namespace: 0
wiki page content language: en
analogue of: Normal subgroup
wiki page sort key: Normal subsemigroup

Abelian normal subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Abelian_normal_subgroup
wiki namespace: 0
wiki page content language: en
conjunction involving: Normal subgroup
wiki page sort key: Abelian normal subgroup
defining ingredient: Normal subgroup
stronger than: Normal subgroup

Normalizer of a subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Normalizer_of_a_subgroup
wiki namespace: 0
wiki page content language: en
operator related to: Normal subgroup
wiki page sort key: Normalizer of a subgroup
defining ingredient: Normal subgroup

Subnormal subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Subnormal_subgroup
wiki namespace: 0
wiki page content language: en
defining ingredient: Normal subgroup
wiki page sort key: Subnormal subgroup
weaker than: Normal subgroup

Abelian group
type: Subject
page: https://groupprops.subwiki.org/wiki/Abelian_group
wiki namespace: 0
wiki page content language: en
defining ingredient: Normal subgroup
wiki page sort key: Abelian group

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

Dedekind group
type: Subject
page: https://groupprops.subwiki.org/wiki/Dedekind_group
wiki namespace: 0
wiki page content language: en
defining ingredient: Normal subgroup
wiki page sort key: Dedekind group

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

Hall-relatively weakly closed subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Hall-2Drelatively_weakly_closed_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Normal subgroup
wiki page sort key: Hall-relatively weakly closed subgroup

Sylow-relatively weakly closed subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Sylow-2Drelatively_weakly_closed_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Normal subgroup
wiki page sort key: Sylow-relatively weakly closed subgroup

Isomorph-normal subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Isomorph-2Dnormal_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Normal subgroup
wiki page sort key: Isomorph-normal subgroup

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

Maximal subgroup of finite nilpotent group
type: Subject
page: https://groupprops.subwiki.org/wiki/Maximal_subgroup_of_finite_nilpotent_group
wiki namespace: 0
wiki page content language: en
stronger than: Normal subgroup
wiki page sort key: Maximal subgroup of finite nilpotent group

Isomorph-normal coprime automorphism-invariant subgroup
type: Subject
page: https://groupprops.subwiki.org/wiki/Isomorph-2Dnormal_coprime_automorphism-2Dinvariant_subgroup
wiki namespace: 0
wiki page content language: en
stronger than: Normal subgroup
wiki page sort key: Isomorph-normal coprime automorphism-invariant subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Fourth_isomorphism_theorem-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Fourth_isomorphism_theorem
wiki namespace: 0
wiki page sort key: Fourth isomorphism theorem#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_strongly_intersection-2Dclosed-23_1e1e4dfa0b004602c838399108acb341
type: Subject
master page: Normality is strongly intersection-closed
wiki namespace: 0
wiki page sort key: Normality is strongly intersection-closed#Normal subgroup;1# 1e1e4dfa0b004602c838399108acb341
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_strongly_intersection-2Dclosed-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: Normality is strongly intersection-closed
wiki namespace: 0
wiki page sort key: Normality is strongly intersection-closed#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_implies_normal-23_1e1e4dfa0b004602c838399108acb341
type: Subject
master page: Characteristic implies normal
wiki namespace: 0
wiki page sort key: Characteristic implies normal#Normal subgroup;1# 1e1e4dfa0b004602c838399108acb341
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_strongly_join-2Dclosed-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_strongly_join-2Dclosed
wiki namespace: 0
wiki page sort key: Normality is strongly join-closed#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_not_implies_characteristic-23_1e1e4dfa0b004602c838399108acb341
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#Normal subgroup;1# 1e1e4dfa0b004602c838399108acb341
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/First_isomorphism_theorem-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/First_isomorphism_theorem
wiki namespace: 0
wiki page sort key: First isomorphism theorem#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Second_isomorphism_theorem-23_5fc29bfd103738ece3dc328ddef969ac
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Second_isomorphism_theorem
wiki namespace: 0
wiki page sort key: Second isomorphism theorem#Normal subgroup;2# 5fc29bfd103738ece3dc328ddef969ac
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_not_transitive-23_1e1e4dfa0b004602c838399108acb341
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normality_is_not_transitive
wiki namespace: 0
wiki page sort key: Normality is not transitive#Normal subgroup;1# 1e1e4dfa0b004602c838399108acb341
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Third_isomorphism_theorem-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Third_isomorphism_theorem
wiki namespace: 0
wiki page sort key: Third isomorphism theorem#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup_equals_kernel_of_homomorphism-23_1e1e4dfa0b004602c838399108acb341
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup_equals_kernel_of_homomorphism
wiki namespace: 0
wiki page sort key: Normal subgroup equals kernel of homomorphism#Normal subgroup;1# 1e1e4dfa0b004602c838399108acb341
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup_equals_kernel_of_homomorphism-23_b832a31b455a432a186dad58c6c8b94c
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup_equals_kernel_of_homomorphism
wiki namespace: 0
wiki page sort key: Normal subgroup equals kernel of homomorphism#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Characteristic_of_normal_implies_normal-23_b832a31b455a432a186dad58c6c8b94c
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#Normal subgroup# b832a31b455a432a186dad58c6c8b94c
page: Normal subgroup

Ubiquity of normality
type: Subject
page: https://groupprops.subwiki.org/wiki/Ubiquity_of_normality
wiki namespace: 0
wiki page content language: en
survey article about: Normal subgroup
wiki page sort key: Ubiquity of normality

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

Operator related to
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AOperator_related_to
wiki namespace: 132
wiki page content language: en
wiki page sort key: Operator related to

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

Survey article about
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3ASurvey_article_about
wiki namespace: 132
wiki page content language: en
wiki page sort key: Survey article about