C₁₁×C₁₉×D₈₅ #48001047

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₁×C₁₉×D₈₅
unambiguous semidirect product	C₅⋊(C₁₁×C₁₉×D₁₇)
unambiguous semidirect product	C₁₇⋊(D₅×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉	D₈₅
commutator, cosocle, hypocenter	C₅×C₁₇	C₂×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₅×C₁₇
UCS	C₁ ◁ C₁₁×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

9196 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 12);