C₅×C₁₇×C₁₉×D₁₁ #48001041

order	35530
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₅×C₁₇×C₁₉×D₁₁

	subgroup	G/H
center, hypercenter	C₅×C₁₇×C₁₉	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂×C₅×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₅×C₁₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

11305 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 6);