C₇⋊C₉×D₁₈₇ #37555626

order	23562
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇⋊C₉×D₁₈₇
unambiguous semidirect product	C₁₁⋊(D₁₇×C₇⋊C₉)
unambiguous semidirect product	C₁₇⋊(D₁₁×C₇⋊C₉)
unambiguous semidirect product	(C₇×D₁₈₇)⋊C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	ΓL(1,𝔽₈)×D₁₈₇
commutator, hypocenter	C₇×C₁₁×C₁₇	C₂×C₉
Fitting, socle, cosocle	C₃×C₇×C₁₁×C₁₇	C₂×C₃
prime radical	C₃×C₇×D₁₈₇	C₃
LCS	G ▷ C₇×C₁₁×C₁₇
UCS	C₁ ◁ C₃

48 conjugacy classes of subgroups.

μ_t(G) = 11781

1425 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23562, 20);