C₂×C₁₉×C₁₃₁⋊C₅ #38733496

order	24890
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×C₁₃₁⋊C₅
unambiguous semidirect product	(C₂×C₁₃₁)⋊(C₅×C₁₉)
unambiguous semidirect product	(C₂×C₁₉×C₁₃₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₂×C₁₉	C₁₃₁⋊C₅
commutator, cosocle, hypocenter	C₁₃₁	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₉×C₁₃₁	C₅
LCS	G ▷ C₁₃₁
UCS	C₁ ◁ C₂×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 4978

1178 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24890, 2);