C₅×C₁₉×D₁₈₇ #48001043

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₈₇
unambiguous semidirect product	C₁₇⋊(C₅×C₁₉×D₁₁)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₈₇
commutator, cosocle, hypocenter	C₁₁×C₁₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₁₁×C₁₇
UCS	C₁ ◁ C₅×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

9025 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 8);