C₆₇×D₂₅₇ #46827907

order	34438
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₅₇
unambiguous semidirect product	C₂₅₇⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₅₇ ⋊ C₂
derived, Sylow	C₂₅₇ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₅₇
commutator, cosocle, hypocenter	C₂₅₇	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₅₇	C₂
LCS	G ▷ C₂₅₇
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 17219

8710 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34438, 2);