C₅×C₁₉×C₃⋊D₃₃ #34037898

order	18810
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₅×C₁₉×C₃⋊D₃₃
unambiguous semidirect product	C₃⋊(C₅×C₁₉×D₃₃)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₃⋊D₃₃
commutator, cosocle, hypocenter	C₃²×C₁₁	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₁×C₁₉	C₂
LCS	G ▷ C₃²×C₁₁
UCS	C₁ ◁ C₅×C₁₉

96 conjugacy classes of subgroups.

μ_t(G) = 9405

4845 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18810, 91);