D₃×C₆₄₂₇ #50310697

order	38562
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₄₂₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₆₄₂₇
unambiguous semidirect product	C₃⋊(C₂×C₆₄₂₇)

Fitting, socle, Hall	C₃×C₆₄₂₇ ⋊ C₂
derived, Sylow	C₃ ⋊ C₂×C₆₄₂₇

	subgroup	G/H
center, hypercenter	C₆₄₂₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₆₄₂₇
Frattini	C₁	G
Fitting, socle	C₃×C₆₄₂₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₆₄₂₇

8 conjugacy classes of subgroups.

μ_t(G) = 19281

19281 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38562, 3);