C₃×D₅×C₁₃×D₄₃ #46776545

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

Aliases

C₃×D₅×C₁₃×D₄₃

	subgroup	G/H
center, hypercenter	C₃×C₁₃	D₅×D₄₃
commutator, cosocle, hypocenter	C₅×C₄₃	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₄₃	C₂²
LCS	G ▷ C₅×C₄₃
UCS	C₁ ◁ C₃×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 8385

3588 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 165);