C₄₃×D₁₅⋊D₁₃ #46776589

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

Aliases

direct product	C₄₃×D₁₅⋊D₁₃
unambiguous semidirect product	D₁₅⋊(D₁₃×C₄₃)
unambiguous semidirect product	D₃₉⋊(D₅×C₄₃)
unambiguous semidirect product	D₆₅⋊(D₃×C₄₃)

	subgroup	G/H
center, hypercenter	C₄₃	D₁₅⋊D₁₃
commutator, cosocle, hypocenter	C₃×C₅×C₁₃	C₂²×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₄₃	C₂²
LCS	G ▷ C₃×C₅×C₁₃
UCS	C₁ ◁ C₄₃

80 conjugacy classes of subgroups.

μ_t(G) = 8385

2838 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 209);