C₁₉×C₁₃₁⋊C₁₃ #44568998

order	32357
automorphism	?
homology	Abelianization (H₁) = C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₁₃₁⋊C₁₃
unambiguous semidirect product	C₁₃₁⋊(C₁₃×C₁₉)
unambiguous semidirect product	(C₁₉×C₁₃₁)⋊C₁₃

Fitting, socle, Hall	C₁₉×C₁₃₁ ⋊ C₁₃
derived, Sylow	C₁₃₁ ⋊ C₁₃×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	C₁₃₁⋊C₁₃
commutator, cosocle, hypocenter	C₁₃₁	C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₁₃₁	C₁₃
LCS	G ▷ C₁₃₁
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 2489

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32357, 1);