C₃×C₁₁×C₁₉×C₁₁⋊C₅ #46828441

order	34485
automorphism	?
homology	Abelianization (H₁) = C₃×C₅×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

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

	subgroup	G/H
center, hypercenter	C₃×C₁₁×C₁₉	C₁₁⋊C₅
commutator, cosocle, hypocenter	C₁₁	C₃×C₅×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁²×C₁₉	C₅
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₃×C₁₁×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 3135

4389 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34485, 12);