C₂×C₁₇×C₁₉×C₁₁⋊C₅ #48001037

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

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 7106

4522 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35530, 2);