D₅×C₁₁×C₁₇×C₁₉ #48001045

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₁₁×C₁₇×C₁₉
unambiguous semidirect product	C₅⋊(C₂×C₁₁×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₇×C₁₉	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₁₁×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₁₁×C₁₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

14212 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 10);