C₁₇×C₁₉×D₅₅ #48001049

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

Aliases

direct product	C₁₇×C₁₉×D₅₅
unambiguous semidirect product	C₅⋊(C₁₇×C₁₉×D₁₁)
unambiguous semidirect product	C₁₁⋊(D₅×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₉	D₅₅
commutator, cosocle, hypocenter	C₅×C₁₁	C₂×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁×C₁₇×C₁₉	C₂
LCS	G ▷ C₅×C₁₁
UCS	C₁ ◁ C₁₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 17765

9367 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 14);