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D₃×#14274263 #26039679

order	11466
automorphism	?
homology	Abelianization (H₁) = C₂×C₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×#14274263
unambiguous semidirect product	C₃⋊(C₂×#14274263)

Splittings

Fitting, socle, derived	C₃×C₇²×C₁₃ ⋊ C₂×C₃
Hall	C₃×#14274263 ⋊ C₂
Hall	C₇²×C₁₃ ⋊ C₃×D₃
Sylow	C₇² ⋊ D₃×C₁₃⋊C₃
Sylow	C₁₃ ⋊ D₃×#3861

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₇²×C₁₃	C₂×C₃
LCS	G ▷ C₃×C₇²×C₁₃
UCS	C₁

180 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

645 conjugacy classes — view the full character table.

Relationships

maximal subgroup of	D₃×#16838473, D₃×#16838446, D₃×#16838448, …
maximal normal subgroup of	D₃×#16838473, D₃×#16838446, D₃×#16838448, …
maximal quotient of	Dic₃×#14274263, C₂×D₃×#14274263

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11466, 322);