C₆₁×D₂₅₇ #44535560

order	31354
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₁×D₂₅₇
unambiguous semidirect product	C₂₅₇⋊(C₂×C₆₁)

Fitting, socle, Hall	C₆₁×C₂₅₇ ⋊ C₂
derived, Sylow	C₂₅₇ ⋊ C₂×C₆₁

	subgroup	G/H
center, hypercenter	C₆₁	D₂₅₇
commutator, cosocle, hypocenter	C₂₅₇	C₂×C₆₁
Frattini	C₁	G
Fitting, socle	C₆₁×C₂₅₇	C₂
LCS	G ▷ C₂₅₇
UCS	C₁ ◁ C₆₁

8 conjugacy classes of subgroups.

μ_t(G) = 15677

7930 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31354, 2);