C₆₇×D₂₇₁ #49137986

order	36314
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₇₁
unambiguous semidirect product	C₂₇₁⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₇₁ ⋊ C₂
derived, Sylow	C₂₇₁ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₇₁
commutator, cosocle, hypocenter	C₂₇₁	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₇₁	C₂
LCS	G ▷ C₂₇₁
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 18157

9179 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36314, 2);