C₅×C₁₁×C₁₉×D₁₇ #48001039

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₁×C₁₉×D₁₇
unambiguous semidirect product	C₁₇⋊(C₂×C₅×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₁×C₁₉	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₅×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₅×C₁₁×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

10450 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 4);