C₂×D₅×C₁₉×C₃₁⋊C₃ #47977698

order	35340
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₅×C₁₉×C₃₁⋊C₃
unambiguous semidirect product	C₅⋊(C₂²×C₁₉×C₃₁⋊C₃)
unambiguous semidirect product	(C₂×C₅)⋊(C₂×C₁₉×C₃₁⋊C₃)
unambiguous semidirect product	(C₂×D₅×C₃₁)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₅×C₃₁⋊C₃
commutator, cosocle, hypocenter	C₅×C₃₁	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₃₁	C₂×C₃
LCS	G ▷ C₅×C₃₁
UCS	C₁ ◁ C₂×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 5890

1976 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35340, 170);