Finite Group Databasebeta

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D₃×#10621729 #72220649

order	4056
automorphism	?
homology	Abelianization (H₁) = C₂×C₄ · Schur multiplier (H₂) = C₂×C₁₃

Aliases

D₃×#10621729

Splittings

Fitting, socle, derived, Hall	C₃×C₁₃² ⋊ C₂×C₄
Sylow	C₁₃² ⋊ C₄×D₃
Sylow	C₃ ⋊ C₂×#10621729

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, hypocenter	C₃×C₁₃²	C₂×C₄
prime radical	D₃×C₁₃⋊D₁₃	C₂
cosocle	C₃×C₁₃⋊D₁₃	C₂²
LCS	G ▷ C₃×C₁₃²
UCS	C₁

124 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

138 conjugacy classes — view the full character table.

Relationships

maximal subgroup of	D₃×#14523146, D₃×D₁₃⋊#261
maximal normal subgroup of	D₃×#14523146, D₃×D₁₃⋊#261

GAP

Past the SmallGroups library coverage — no SmallGroups id.