C₄₁×C₁₅₁⋊C₅ #44526293

order	30955
automorphism	?
homology	Abelianization (H₁) = C₅×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₁×C₁₅₁⋊C₅
unambiguous semidirect product	C₁₅₁⋊(C₅×C₄₁)

Fitting, socle, Hall	C₄₁×C₁₅₁ ⋊ C₅
derived, Sylow	C₁₅₁ ⋊ C₅×C₄₁

	subgroup	G/H
center, hypercenter	C₄₁	C₁₅₁⋊C₅
commutator, cosocle, hypocenter	C₁₅₁	C₅×C₄₁
Frattini	C₁	G
Fitting, socle	C₄₁×C₁₅₁	C₅
LCS	G ▷ C₁₅₁
UCS	C₁ ◁ C₄₁

8 conjugacy classes of subgroups.

μ_t(G) = 6191

1435 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30955, 2);