C₄₁×D₁₅⋊D₁₃ #44544479

order	31980
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₄₁×D₁₅⋊D₁₃
unambiguous semidirect product	D₁₅⋊(D₁₃×C₄₁)
unambiguous semidirect product	D₃₉⋊(D₅×C₄₁)
unambiguous semidirect product	D₆₅⋊(D₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₄₁	D₁₅⋊D₁₃
commutator, cosocle, hypocenter	C₃×C₅×C₁₃	C₂²×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₄₁	C₂²
LCS	G ▷ C₃×C₅×C₁₃
UCS	C₁ ◁ C₄₁

80 conjugacy classes of subgroups.

μ_t(G) = 7995

2706 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31980, 207);