Dihedral group-3AD8
type: Ontology
creation date: 2025-11-04T10:38:42+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Dihedral group:D8
type: Subject
type: Category:Particular groups
type: Category:Dihedral groups
page: https://groupprops.subwiki.org/wiki/Dihedral_group-3AD8
wiki namespace: 0
wiki page content language: en
dissatisfies property: Abelian group
dissatisfies property: T-group
dissatisfies property: Schur-trivial group
dissatisfies property: One-headed group
dissatisfies property: SC-group
dissatisfies property: Frobenius group
dissatisfies property: Splitting-simple group
dissatisfies property: A-group
importance rank: 2
member of family: Dihedral group
member of family: Extraspecial group
member of family: Unitriangular matrix group of degree three
order: 8
page class: Term
satisfies property: Frattini-in-center group
satisfies property: Group of nilpotency class two
satisfies property: Nilpotent group
satisfies property: Supersolvable group
satisfies property: Solvable group
satisfies property: Rational-representation group
satisfies property: Rational group
satisfies property: Ambivalent group
satisfies property: Finite group
satisfies property: Monolithic group
satisfies property: Group isomorphic to its automorphism group
satisfies property: Camina group
satisfies property: Group of prime power order
satisfies property: UL-equivalent group
satisfies property: Stem group
satisfies property: Directly indecomposable group
satisfies property: Centrally indecomposable group
satisfies property: Maximal class group
satisfies property: Extraspecial group
satisfies property: Special group
satisfies property: Group in which every element is automorphic to its inverse
satisfies property: Group in which any two elements generating the same cyclic subgroup are automorphic
satisfies property: 2-Engel group
satisfies property: Algebra group
wiki page modification date: 2024-12-03T00:36:51Z
modification date#aux: 2460647.5255903
wiki page sort key: Dihedral group:D8

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_7a13bee84178de3902ce9e3091c9d67e
type: Subject
master page: Dihedral group:D8
wiki namespace: 0
wiki page sort key: Dihedral group:D8#Underlying prime of p-group;2
number: 2
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Underlying_prime_of_p-2Dgroup

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_930225c358a23a5ea0082283c195cf44
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Order of a group;8
number: 8
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Order_of_a_group

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_20b4f8754e0bd0bf5ec62335fc106b5d
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Prime-base logarithm of order;3
number: 3
page: http://groupprops.subwiki.org/wiki/Special:URIResolver/Prime-2Dbase_logarithm_of_order

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_6073c6fa4a7d7131b351cf7a88171ffe
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Max-length of a group;3
number: 3
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_090c866c8a25d10f57f85208f9b242f2
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Chief length;3
number: 3
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_d062b42ce007d6ab81c36dd884321610
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Composition length;3
number: 3
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_f42957b3baa9fd46e2346363e6d6b8bd
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master page: Dihedral group:D8
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_b7594cc9c4c42965bc9010436e2f1fbc
type: Subject
master page: Dihedral group:D8
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_c4e61a452f53ec65ceb9e9252853b2bf
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8#Nilpotency class;2
number: 2
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_e25716f2c9902d61b874a5e945bcd4e1
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_a9f8371b564d5335b51770f5d17a422f
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number: 2
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_a2807c8fd98cfd6f5dc00ab3be57483b
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_5e221dcc4544cb5197d6f466b985fadc
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_942154ac6fda056baa1641da74bb51ae
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_4f2863a776d7b4d35f6a17cee5a56ced
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_301c5f4cb34dcd8806c60c06caeba69d
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master page: Dihedral group:D8
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_1c13ea48c4a34749277d063d2c09a0f4
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_02bcf042e2d0ded0df84456062ee81a4
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_a5a23be7eaf4ba5b916267943f5f067e
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_0d64c95888c07e5613e7d30f7b160ce6
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_1b25bdbc8ead83425ee4215461a6f553
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number: 8
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http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYc492696730fdea506e1f8e7ad2f29ce9
type: Subject
master page: Dihedral group:D8
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query string: Minimum size of generating set 2 Prime-base logarithm of order 3
wiki page sort key: Dihedral group:D8# QUERYc492696730fdea506e1f8e7ad2f29ce9

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYe750a6e6983602278a40c54230968a76
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8# QUERYe750a6e6983602278a40c54230968a76

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY46da310d815d4eeb8f4fe8daf23bda79
type: Subject
master page: Dihedral group:D8
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query string: Subgroup rank of a group 2 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY46da310d815d4eeb8f4fe8daf23bda79

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY85601f1b41e6ce18460a2b2641a3a340
type: Subject
master page: Dihedral group:D8
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query string: Subgroup rank of a group 2 Prime-base logarithm of order 3
wiki page sort key: Dihedral group:D8# QUERY85601f1b41e6ce18460a2b2641a3a340

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY2efb9d62dc2164771a85458ee7bafc0e
type: Subject
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wiki page sort key: Dihedral group:D8# QUERY2efb9d62dc2164771a85458ee7bafc0e

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY56a26d20c9f491c85cc51b5373cb295b
type: Subject
master page: Dihedral group:D8
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wiki page sort key: Dihedral group:D8# QUERY56a26d20c9f491c85cc51b5373cb295b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY7c8dad126200f45739ea315c44e9f8f1
type: Subject
master page: Dihedral group:D8
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query string: Rank of a p-group 2 Prime-base logarithm of order 3
wiki page sort key: Dihedral group:D8# QUERY7c8dad126200f45739ea315c44e9f8f1

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY7970e37817a0a704a54f6168586e86cc
type: Subject
master page: Dihedral group:D8
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query string: Rank of a p-group 2
wiki page sort key: Dihedral group:D8# QUERY7970e37817a0a704a54f6168586e86cc

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY544d2a63182c4574f55cc816f4e01a1b
type: Subject
master page: Dihedral group:D8
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query string: Normal rank of a p-group 2 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY544d2a63182c4574f55cc816f4e01a1b

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYfc40a66be2f174dc32be0f74af8137cf
type: Subject
master page: Dihedral group:D8
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query string: Normal rank of a p-group 2 Prime-base logarithm of order 3
wiki page sort key: Dihedral group:D8# QUERYfc40a66be2f174dc32be0f74af8137cf

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYaca56bac9580082a624ab2142fe4ab36
type: Subject
master page: Dihedral group:D8
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query string: Normal rank of a p-group 2
wiki page sort key: Dihedral group:D8# QUERYaca56bac9580082a624ab2142fe4ab36

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY11594b186d8a395b90a31456a4eb0b40
type: Subject
master page: Dihedral group:D8
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query string: Characteristic rank of a p-group 1 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY11594b186d8a395b90a31456a4eb0b40

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYca530b1951edcebc3202e0c22f5a7a53
type: Subject
master page: Dihedral group:D8
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query string: Characteristic rank of a p-group 1 Prime-base logarithm of order 3
wiki page sort key: Dihedral group:D8# QUERYca530b1951edcebc3202e0c22f5a7a53

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY37c9612d33f64cebf0b3fea5d32afd85
type: Subject
master page: Dihedral group:D8
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query string: Characteristic rank of a p-group 1
wiki page sort key: Dihedral group:D8# QUERY37c9612d33f64cebf0b3fea5d32afd85

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYe3a44eae33d649a4bb0eb3bfc1f9f867
type: Subject
master page: Dihedral group:D8
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query string: Number of conjugacy classes 5 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERYe3a44eae33d649a4bb0eb3bfc1f9f867

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY73f27a0f765d5240815037f97dd48bde
type: Subject
master page: Dihedral group:D8
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query string: Number of conjugacy classes 5
wiki page sort key: Dihedral group:D8# QUERY73f27a0f765d5240815037f97dd48bde

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY75d69462d5799dcaf3bb94ff43520f79
type: Subject
master page: Dihedral group:D8
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query string: Number of equivalence classes under real conjugacy 5 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY75d69462d5799dcaf3bb94ff43520f79

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYe5533936f92f4799b842d094bff58b2c
type: Subject
master page: Dihedral group:D8
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query string: Number of equivalence classes under real conjugacy 5
wiki page sort key: Dihedral group:D8# QUERYe5533936f92f4799b842d094bff58b2c

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYd081b538031bd0e8611205255e4aecbe
type: Subject
master page: Dihedral group:D8
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query string: Number of conjugacy classes of real elements 5 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERYd081b538031bd0e8611205255e4aecbe

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY6750760b157b95ec13a536758f487238
type: Subject
master page: Dihedral group:D8
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query string: Number of conjugacy classes of real elements 5
wiki page sort key: Dihedral group:D8# QUERY6750760b157b95ec13a536758f487238

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY63ee7d1e1144a7513885c7e86296ffe4
type: Subject
master page: Dihedral group:D8
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query depth: 2
query format: table
query size: 10
query string: Number of equivalence classes under rational conjugacy 5 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY63ee7d1e1144a7513885c7e86296ffe4

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYf8c5b2593027f4cd70bfa8ece706f229
type: Subject
master page: Dihedral group:D8
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query string: Number of equivalence classes under rational conjugacy 5
wiki page sort key: Dihedral group:D8# QUERYf8c5b2593027f4cd70bfa8ece706f229

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYeeea6d9c28131bab05c201eacc3fe638
type: Subject
master page: Dihedral group:D8
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query depth: 2
query format: table
query size: 10
query string: Number of conjugacy classes of rational elements 5 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERYeeea6d9c28131bab05c201eacc3fe638

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERYe42bf1d430e2a15fb2e05af20615efa0
type: Subject
master page: Dihedral group:D8
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query string: Number of conjugacy classes of rational elements 5
wiki page sort key: Dihedral group:D8# QUERYe42bf1d430e2a15fb2e05af20615efa0

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY95bc5e3e4882104ed92d4572364d2bfd
type: Subject
master page: Dihedral group:D8
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query depth: 2
query format: table
query size: 10
query string: Number of normal subgroups 6 Order of a group 8
wiki page sort key: Dihedral group:D8# QUERY95bc5e3e4882104ed92d4572364d2bfd

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY86bbb9de4cdb7e480897a69e6781aec3
type: Subject
master page: Dihedral group:D8
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query depth: 2
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query size: 5
query string: Number of normal subgroups 6
wiki page sort key: Dihedral group:D8# QUERY86bbb9de4cdb7e480897a69e6781aec3

http://groupprops.subwiki.org/wiki/Special:URIResolver/Dihedral_group-3AD8-23_QUERY04c954a824b60a32b2734b908e7a5906
type: Subject
master page: Dihedral group:D8
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query format: plainlist
query size: 1
query string: Groups of order 8
wiki page sort key: Dihedral group:D8# QUERY04c954a824b60a32b2734b908e7a5906

Normality is not transitive
type: Subject
page: https://groupprops.subwiki.org/wiki/Normality_is_not_transitive
wiki namespace: 0
wiki page content language: en
particular example: Dihedral group:D8
wiki page sort key: Normality is not transitive

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
group part: Dihedral group:D8
wiki page sort key: Center of dihedral group:D8

Subgroup structure of dihedral group:D8
type: Subject
page: https://groupprops.subwiki.org/wiki/Subgroup_structure_of_dihedral_group-3AD8
wiki namespace: 0
wiki page content language: en
specific information about: Dihedral group:D8
wiki page sort key: Subgroup structure of dihedral group:D8

Element structure of dihedral group:D8
type: Subject
page: https://groupprops.subwiki.org/wiki/Element_structure_of_dihedral_group-3AD8
wiki namespace: 0
wiki page content language: en
specific information about: Dihedral group:D8
wiki page sort key: Element structure of dihedral group:D8

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

Group part
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3AGroup_part
wiki namespace: 132
wiki page content language: en
wiki page sort key: Group part
type: wpg

Specific information about
type: ObjectProperty
page: https://groupprops.subwiki.org/wiki/Property-3ASpecific_information_about
wiki namespace: 132
wiki page content language: en
wiki page sort key: Specific information about
type: wpg