C₂×C₃×C₅×C₁₃×D₄₃ #46776602

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

Aliases

C₂×C₃×C₅×C₁₃×D₄₃

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₁₃	D₄₃
commutator, cosocle, hypocenter	C₄₃	C₂²×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₃×C₄₃	C₂
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂×C₃×C₅×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 16770

8970 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 222);