dihedral group of order 6 (Q2204630)

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non-commutative group with 6 elements

• D3
• S3
• symmetric group of order 6

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Language	Label	Description	Also known as
English	dihedral group of order 6	non-commutative group with 6 elements	D3 S3 symmetric group of order 6

Statements

instance of

finite group

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non-abelian group

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dihedral group

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symmetric group

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follows

Klein four-group

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followed by

dihedral group of order 8

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studied in

group theory

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defining formula

${\displaystyle \langle r,a\mid r^{3}=1,a^{2}=1,ara=r^{-1}\rangle }$

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imported from Wikimedia project

English Wikipedia

group cardinality

6

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maintained by WikiProject

WikiProject Mathematics

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Commons category

Dihedral group Dih 3

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Identifiers

Freebase ID

/m/077hq_

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Group Properties article ID

Symmetric_group:S3

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MathWorld ID

DihedralGroupD3

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Microsoft Academic ID

11247968

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nLab ID

dihedral group of order 6

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ProofWiki ID

Definition:Dihedral_Group_D3

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Definition:Symmetry_Group_of_Equilateral_Triangle

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SmallGroup ID

6,1

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Sitelinks

Wikipedia(4 entries)

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• dewiki S3 (Gruppe)
• enwiki Dihedral group of order 6
• eswiki Grupo diédrico de orden 6
• viwiki Nhóm nhị diện cấp 6

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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