C₃×C₂₁₃₁⋊C₅ #44544207

order	31965
automorphism	?
homology	Abelianization (H₁) = C₃×C₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₂₁₃₁⋊C₅
unambiguous semidirect product	(C₃×C₂₁₃₁)⋊C₅

Fitting, socle, Hall	C₃×C₂₁₃₁ ⋊ C₅
derived, Sylow	C₂₁₃₁ ⋊ C₃×C₅

	subgroup	G/H
center, hypercenter	C₃	C₂₁₃₁⋊C₅
commutator, cosocle, hypocenter	C₂₁₃₁	C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₂₁₃₁	C₅
LCS	G ▷ C₂₁₃₁
UCS	C₁ ◁ C₃

8 conjugacy classes of subgroups.

μ_t(G) = 6393

1293 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31965, 2);