C₅²×D₇×C₆₇ #37552964

order	23450
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₆₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×D₇×C₆₇
unambiguous semidirect product	C₇⋊(C₂×C₅²×C₆₇)

	subgroup	G/H
center, hypercenter	C₅²×C₆₇	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₅²×C₆₇
Frattini	C₁	G
Fitting, socle	C₅²×C₇×C₆₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₅²×C₆₇

64 conjugacy classes of subgroups.

μ_t(G) = 11725

8375 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23450, 11);