C₃×D₃×C₁₉×C₁₁⋊C₅ #34037869

order	18810
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₃×C₁₉×C₁₁⋊C₅
unambiguous semidirect product	C₃⋊(C₂×C₃×C₁₉×C₁₁⋊C₅)
unambiguous semidirect product	(D₃×C₁₁)⋊(C₃×C₅×C₁₉)
unambiguous semidirect product	(C₃×D₃×C₁₁)⋊(C₅×C₁₉)
unambiguous semidirect product	(C₃×D₃×C₁₁×C₁₉)⋊C₅

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₃×C₁₁⋊C₅
commutator, cosocle, hypocenter	C₃×C₁₁	C₂×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₁×C₁₉	C₂×C₅
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₃×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 1254

1197 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18810, 62);