C₅×C₁₉×D₁₂₇ #37563241

order	24130
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₂₇
unambiguous semidirect product	C₁₂₇⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₂₇
commutator, cosocle, hypocenter	C₁₂₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₂₇	C₂
LCS	G ▷ C₁₂₇
UCS	C₁ ◁ C₅×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 12065

6175 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24130, 2);