C₆₇×D₂₄₁ #44567982

order	32294
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₄₁
unambiguous semidirect product	C₂₄₁⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₄₁ ⋊ C₂
derived, Sylow	C₂₄₁ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₄₁
commutator, cosocle, hypocenter	C₂₄₁	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₄₁	C₂
LCS	G ▷ C₂₄₁
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 16147

8174 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32294, 2);