C₅×C₁₉×C₂²⋊(C₃₁⋊C₃) #47977758

order	35340
automorphism	?
homology	Abelianization (H₁) = C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×C₁₉×C₂²⋊(C₃₁⋊C₃)
unambiguous semidirect product	C₂²⋊(C₅×C₁₉×C₃₁⋊C₃)
unambiguous semidirect product	(C₂²×C₅)⋊(C₁₉×C₃₁⋊C₃)
unambiguous semidirect product	(C₅×C₃₁)⋊(A₄×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₂²⋊(C₃₁⋊C₃)
commutator, cosocle, hypocenter	C₂²×C₃₁	C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₁₉×C₃₁	C₃
LCS	G ▷ C₂²×C₃₁
UCS	C₁ ◁ C₅×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 11780

4180 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35340, 230);