C₂²×C₅×C₁₃×C₃₁⋊C₃ #37563995

order	24180
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₁₃×C₃₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅×C₁₃	C₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₂²×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₁₃×C₃₁	C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂²×C₅×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 8060

3380 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24180, 294);