C₃²×C₁₉×C₄₁⋊C₅ #46856322

order	35055
automorphism	?
homology	Abelianization (H₁) = C₃²×C₅×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₁₉×C₄₁⋊C₅
unambiguous semidirect product	C₄₁⋊(C₃²×C₅×C₁₉)
unambiguous semidirect product	(C₃×C₄₁)⋊(C₃×C₅×C₁₉)
unambiguous semidirect product	(C₃²×C₄₁)⋊(C₅×C₁₉)
unambiguous semidirect product	(C₃²×C₁₉×C₄₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₃²×C₁₉	C₄₁⋊C₅
commutator, cosocle, hypocenter	C₄₁	C₃²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₄₁	C₅
LCS	G ▷ C₄₁
UCS	C₁ ◁ C₃²×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 7011

2223 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35055, 9);