C₃×D₅×D₁₃×C₄₃ #46776549

order	33540
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₅×D₁₃×C₄₃

	subgroup	G/H
center, hypercenter	C₃×C₄₃	D₅×D₁₃
commutator, cosocle, hypocenter	C₅×C₁₃	C₂²×C₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₄₃	C₂²
LCS	G ▷ C₅×C₁₃
UCS	C₁ ◁ C₃×C₄₃

80 conjugacy classes of subgroups.

μ_t(G) = 8385

4128 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 169);