Finite group
type: Ontology
creation date: 2026-01-10T02:54:18+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Finite group
type: Subject
type: Category:Basic definitions in group theory
type: Category:Group properties
type: Category:Pivotal group properties
type: Category:Standard terminology
page: https://groupprops.subwiki.org/wiki/Finite_group
wiki namespace: 0
wiki page content language: en
importance rank: 1
page class: Term
satisfies metaproperty: Finite direct product-closed group property
satisfies metaproperty: Subgroup-closed group property
satisfies metaproperty: Quotient-closed group property
satisfies metaproperty: Lattice-determined group property
stronger than: Finitely generated group
stronger than: Periodic group
stronger than: Group of finite exponent
stronger than: Locally finite group
stronger than: Noetherian group
weaker than: Group of prime power order
weaker than: Odd-order group
wiki page modification date: 2024-06-24T09:25:12Z
modification date#aux: 2460485.8925
wiki page sort key: Finite group

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type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#DummitFoote;17;definition given as an additional comment after the formal definition of group
number: 17
text: definition given as an additional comment after the formal definition of group
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3ADummitFoote

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_8d1fb8989090413aa2c4a2a9a9d21e41
type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#AlperinBell;2
number: 2
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_32f26f6d1c356f2045e31d91318bf8bf
type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#Fraleigh;58;the term is not explicitly defined, but the definition is implicit in the section ''Finite groups and group tables''
number: 58
text: the term is not explicitly defined, but the definition is implicit in the section ''Finite groups and group tables''
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Book-3AFraleigh

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type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#Hungerford;24;definition introduced in paragraph, along with notion of order of a group
number: 24
text: definition introduced in paragraph, along with notion of order of a group
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_2bf69067b9bd702cee108304037c1838
type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#Gallian;56
number: 56
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_dae4719e3f43dbb6af3cfe762380dcb5
type: Subject
master page: Finite group
wiki namespace: 0
wiki page sort key: Finite group#Herstein;28;definition introduced in paragraph
number: 28
text: definition introduced in paragraph
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYf1665c5e0ee2e3b504e595b41dd93ca6
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY01602e642c9895a5bc4e61a9449611b9
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY22b7edc21bf6eaa73f39ec73d362d63b
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query string: Group of prime power order Finite group
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY5071a7988770f495da7a894e571ef9b6
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query string: Group of prime power order Finite group
wiki page sort key: Finite group# QUERY5071a7988770f495da7a894e571ef9b6

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYa211e270c0f8c74c57073779a0bb0204
type: Subject
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query string: Odd-order group Finite group
wiki page sort key: Finite group# QUERYa211e270c0f8c74c57073779a0bb0204

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY6a0a783226bea6c1601fdc28ee0c0675
type: Subject
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query string: Odd-order group Finite group
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYc8e1156cf9373f6235438dc3e074205a
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query string: Finite group Finite cyclic group
wiki page sort key: Finite group# QUERYc8e1156cf9373f6235438dc3e074205a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY7a4d22c6cb22ea2adf3080dce6772a89
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query string: Finite group Finite cyclic group
wiki page sort key: Finite group# QUERY7a4d22c6cb22ea2adf3080dce6772a89

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYf6e7ab78a084e648a277f818ab462d01
type: Subject
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query string: Finite group Finite abelian group
wiki page sort key: Finite group# QUERYf6e7ab78a084e648a277f818ab462d01

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYb6d50a6c08fc01027fd906bbb214676b
type: Subject
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query string: Finite group Finite abelian group
wiki page sort key: Finite group# QUERYb6d50a6c08fc01027fd906bbb214676b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY78382e8b8651f29844dc259dfe2de2c3
type: Subject
master page: Finite group
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query string: Abelian group Finite abelian group
wiki page sort key: Finite group# QUERY78382e8b8651f29844dc259dfe2de2c3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYe5da314eaefee19391eb6d0fbf164380
type: Subject
master page: Finite group
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query string: Abelian group Finite abelian group
wiki page sort key: Finite group# QUERYe5da314eaefee19391eb6d0fbf164380

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYcd2440011d869f8cc145c58f8d22ad70
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query string: Finite group Finite nilpotent group
wiki page sort key: Finite group# QUERYcd2440011d869f8cc145c58f8d22ad70

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY0a38a23929603509930fa3a6d98a2c9a
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query string: Finite group Finite nilpotent group
wiki page sort key: Finite group# QUERY0a38a23929603509930fa3a6d98a2c9a

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY4d9c09abd7a893fde7cc3a6ca80bc080
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query string: Nilpotent group Finite nilpotent group
wiki page sort key: Finite group# QUERY4d9c09abd7a893fde7cc3a6ca80bc080

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY9a0674b0cedab2f95e2b19a9c41337fd
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query string: Nilpotent group Finite nilpotent group
wiki page sort key: Finite group# QUERY9a0674b0cedab2f95e2b19a9c41337fd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYd12bc0c8cddd3c99a0c3429f309ed634
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query string: Finite group Finite solvable group
wiki page sort key: Finite group# QUERYd12bc0c8cddd3c99a0c3429f309ed634

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYe87bd58af5abacc261fef42bf0c6f7f8
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query string: Finite group Finite solvable group
wiki page sort key: Finite group# QUERYe87bd58af5abacc261fef42bf0c6f7f8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY57e2926f2fbdd6630475f7aff7a8c702
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query string: Solvable group Finite solvable group
wiki page sort key: Finite group# QUERY57e2926f2fbdd6630475f7aff7a8c702

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYf06e13e1bcf6c1cbea06803935439a42
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query string: Solvable group Finite solvable group
wiki page sort key: Finite group# QUERYf06e13e1bcf6c1cbea06803935439a42

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY9f4785fbf2176b150d84b7a072a81222
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query string: Periodic group Finite group
wiki page sort key: Finite group# QUERY9f4785fbf2176b150d84b7a072a81222

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY3e1d91559eb806dd32d96adf28806068
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query string: Periodic group Finite group
wiki page sort key: Finite group# QUERY3e1d91559eb806dd32d96adf28806068

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY7a75e79270727b11f1faf6e775eb6010
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query string: Group of finite exponent Finite group
wiki page sort key: Finite group# QUERY7a75e79270727b11f1faf6e775eb6010

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY2bb847ff33818e7f897a53bf1ffe7938
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query string: Group of finite exponent Finite group
wiki page sort key: Finite group# QUERY2bb847ff33818e7f897a53bf1ffe7938

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY8d5af38212a4be77bee4c19395801acf
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query string: Finitely generated group Finite group
wiki page sort key: Finite group# QUERY8d5af38212a4be77bee4c19395801acf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERY9cd68fa361abc7ee16f61ff43b63079e
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query string: Finitely generated group Finite group
wiki page sort key: Finite group# QUERY9cd68fa361abc7ee16f61ff43b63079e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYdadec78901936f62f6e7e21035c153a7
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query string: Locally finite group Finite group
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYa6e855164892165779ca253d6e8d46d8
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query string: Locally finite group Finite group
wiki page sort key: Finite group# QUERYa6e855164892165779ca253d6e8d46d8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYa5adef02de6785c04fcb2d25a11f976d
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query string: Noetherian group Finite group
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_group-23_QUERYfd5107f65195a687cc79758fd056bb3e
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query string: Noetherian group Finite group
wiki page sort key: Finite group# QUERYfd5107f65195a687cc79758fd056bb3e

Cyclic group:Z2
type: Subject
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satisfies property: Finite group
wiki page sort key: Cyclic group:Z2

Cyclic group:Z3
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ3
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satisfies property: Finite group
wiki page sort key: Cyclic group:Z3

Symmetric group:S3
type: Subject
page: https://groupprops.subwiki.org/wiki/Symmetric_group-3AS3
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satisfies property: Finite group
wiki page sort key: Symmetric group:S3

Elementary abelian group:E25
type: Subject
page: https://groupprops.subwiki.org/wiki/Elementary_abelian_group-3AE25
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satisfies property: Finite group
wiki page sort key: Elementary abelian group:E25

Direct product of Z5 and S3
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satisfies property: Finite group
wiki page sort key: Direct product of Z5 and S3

Direct product of Z3 and D10
type: Subject
page: https://groupprops.subwiki.org/wiki/Direct_product_of_Z3_and_D10
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satisfies property: Finite group
wiki page sort key: Direct product of Z3 and D10

Cyclic group:Z30
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ30
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satisfies property: Finite group
wiki page sort key: Cyclic group:Z30

Cyclic group:Z33
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ33
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satisfies property: Finite group
wiki page sort key: Cyclic group:Z33

Cyclic group:Z35
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ35
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z35

Cyclic group:Z39
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ39
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z39

Cyclic group:Z45
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ45
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z45

Cyclic group:Z48
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ48
wiki namespace: 0
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satisfies property: Finite group
wiki page sort key: Cyclic group:Z48

Elementary abelian group:E49
type: Subject
page: https://groupprops.subwiki.org/wiki/Elementary_abelian_group-3AE49
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Elementary abelian group:E49

Holomorph of Q8
type: Subject
page: https://groupprops.subwiki.org/wiki/Holomorph_of_Q8
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Holomorph of Q8

Quaternion group
type: Subject
page: https://groupprops.subwiki.org/wiki/Quaternion_group
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Quaternion group

Cyclic group:Z71
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ71
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z71

Cyclic group:Z103
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ103
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z103

Cyclic group:Z107
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ107
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z107

Cyclic group:Z113
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ113
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z113

Cyclic group:Z61
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ61
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z61

Cyclic group:Z97
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ97
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z97

Cyclic group:Z73
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ73
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z73

Cyclic group:Z89
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ89
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z89

Cyclic group:Z11
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ11
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z11

Cyclic group:Z13
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ13
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z13

Cyclic group:Z17
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ17
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z17

Cyclic group:Z19
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ19
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z19

Cyclic group:Z23
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ23
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z23

Cyclic group:Z29
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ29
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z29

Cyclic group:Z31
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ31
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z31

Cyclic group:Z37
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ37
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z37

Cyclic group:Z41
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ41
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z41

Cyclic group:Z43
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ43
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z43

Cyclic group:Z47
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ47
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z47

Cyclic group:Z53
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ53
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z53

Cyclic group:Z59
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ59
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z59

Cyclic group:Z67
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ67
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z67

Cyclic group:Z79
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ79
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z79

Cyclic group:Z83
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ83
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z83

Dihedral group:D14
type: Subject
page: https://groupprops.subwiki.org/wiki/Dihedral_group-3AD14
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Dihedral group:D14

Cyclic group:Z14
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ14
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z14

Cyclic group:Z15
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ15
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z15

Cyclic group:Z21
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ21
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z21

Cyclic group:Z22
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ22
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z22

Dihedral group:D22
type: Subject
page: https://groupprops.subwiki.org/wiki/Dihedral_group-3AD22
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Dihedral group:D22

Cyclic group:Z25
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ25
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z25

Cyclic group:Z26
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ26
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z26

Dihedral group:D26
type: Subject
page: https://groupprops.subwiki.org/wiki/Dihedral_group-3AD26
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Dihedral group:D26

Dicyclic group:Dic28
type: Subject
page: https://groupprops.subwiki.org/wiki/Dicyclic_group-3ADic28
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Dicyclic group:Dic28

Cyclic group:Z28
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ28
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z28

Direct product of Z2 and Z14
type: Subject
page: https://groupprops.subwiki.org/wiki/Direct_product_of_Z2_and_Z14
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Direct product of Z2 and Z14

Projective special linear group:PSL(3,2)
type: Subject
page: https://groupprops.subwiki.org/wiki/Projective_special_linear_group-3APSL-283-2C2-29
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Projective special linear group:PSL(3,2)

Alternating group:A4
type: Subject
page: https://groupprops.subwiki.org/wiki/Alternating_group-3AA4
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Alternating group:A4

SmallGroup(36,3)
type: Subject
page: https://groupprops.subwiki.org/wiki/SmallGroup-2836-2C3-29
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: SmallGroup(36,3)

Dihedral group:D8
type: Subject
page: https://groupprops.subwiki.org/wiki/Dihedral_group-3AD8
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Dihedral group:D8

General affine group:GA(1,11)
type: Subject
page: https://groupprops.subwiki.org/wiki/General_affine_group-3AGA-281-2C11-29
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: General affine group:GA(1,11)

Cyclic group:Z46
type: Subject
page: https://groupprops.subwiki.org/wiki/Cyclic_group-3AZ46
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Cyclic group:Z46

Alternating group:A6
type: Subject
page: https://groupprops.subwiki.org/wiki/Alternating_group-3AA6
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Alternating group:A6

Symmetric group:S4
type: Subject
page: https://groupprops.subwiki.org/wiki/Symmetric_group-3AS4
wiki namespace: 0
wiki page content language: en
satisfies property: Finite group
wiki page sort key: Symmetric group:S4

Every finite group has a finite composition series
type: Subject
page: https://groupprops.subwiki.org/wiki/Every_finite_group_has_a_finite_composition_series
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Finite group
wiki page sort key: Every finite group has a finite composition series

Finite implies subnormal join property
type: Subject
page: https://groupprops.subwiki.org/wiki/Finite_implies_subnormal_join_property
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Finite group
wiki page sort key: Finite implies subnormal join property

Finite normal implies amalgam-characteristic
type: Subject
page: https://groupprops.subwiki.org/wiki/Finite_normal_implies_amalgam-2Dcharacteristic
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Finite group
wiki page sort key: Finite normal implies amalgam-characteristic

http://groupprops.subwiki.org/wiki/Special:URIResolver/Every_finite_group_has_a_finite_composition_series-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: Every finite group has a finite composition series
wiki namespace: 0
wiki page sort key: Every finite group has a finite composition series#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Sylow_normalizer_implies_weakly_abnormal-23_578a5e94e076cf92c1a77ee8e27a1fd6
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Sylow_normalizer_implies_weakly_abnormal
wiki namespace: 0
wiki page sort key: Sylow normalizer implies weakly abnormal#Finite group# 578a5e94e076cf92c1a77ee8e27a1fd6
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Frattini_subgroup_is_nilpotent_in_finite-23_578a5e94e076cf92c1a77ee8e27a1fd6
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Frattini_subgroup_is_nilpotent_in_finite
wiki namespace: 0
wiki page sort key: Frattini subgroup is nilpotent in finite#Finite group# 578a5e94e076cf92c1a77ee8e27a1fd6
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_implies_subnormal_join_property-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: Finite implies subnormal join property
wiki namespace: 0
wiki page sort key: Finite implies subnormal join property#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_normal_implies_amalgam-2Dcharacteristic-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: Finite normal implies amalgam-characteristic
wiki namespace: 0
wiki page sort key: Finite normal implies amalgam-characteristic#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Central_implies_potentially_verbal_in_finite-23_578a5e94e076cf92c1a77ee8e27a1fd6
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Central_implies_potentially_verbal_in_finite
wiki namespace: 0
wiki page sort key: Central implies potentially verbal in finite#Finite group# 578a5e94e076cf92c1a77ee8e27a1fd6
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_not_implies_composition_factor-2Dunique-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_not_implies_composition_factor-2Dunique
wiki namespace: 0
wiki page sort key: Finite not implies composition factor-unique#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_not_implies_composition_factor-2Dpermutable-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Finite_not_implies_composition_factor-2Dpermutable
wiki namespace: 0
wiki page sort key: Finite not implies composition factor-permutable#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Periodic_not_implies_locally_finite-23_7809f08dd2fcc687e92731f01cc6d1c4
type: Subject
master page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Periodic_not_implies_locally_finite
wiki namespace: 0
wiki page sort key: Periodic not implies locally finite#Finite group;2# 7809f08dd2fcc687e92731f01cc6d1c4
page: Finite group

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

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

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