C₂²×C₅×C₃₁×C₁₃⋊C₃ #37563996

order	24180
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₃₁×C₁₃⋊C₃

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

80 conjugacy classes of subgroups.

μ_t(G) = 8060

4340 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24180, 295);