C₂²×C₅×C₁₃×C₄₃⋊C₃ #46776598

order	33540
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₁₃×C₄₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅×C₁₃	C₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₂²×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₁₃×C₄₃	C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂²×C₅×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 11180

4420 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 218);