C₇×C₁₉×C₂₃⋊C₁₁ #46777790

order	33649
automorphism	?
homology	Abelianization (H₁) = C₇×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₉×C₂₃⋊C₁₁
unambiguous semidirect product	C₂₃⋊(C₇×C₁₁×C₁₉)
unambiguous semidirect product	(C₇×C₂₃)⋊(C₁₁×C₁₉)
unambiguous semidirect product	(C₁₉×C₂₃)⋊(C₇×C₁₁)
unambiguous semidirect product	(C₇×C₁₉×C₂₃)⋊C₁₁

	subgroup	G/H
center, hypercenter	C₇×C₁₉	C₂₃⋊C₁₁
commutator, cosocle, hypocenter	C₂₃	C₇×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₂₃	C₁₁
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₇×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 3059

1729 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33649, 2);