C₅×C₅₂₁⋊C₁₃ #46799684

order	33865
automorphism	?
homology	Abelianization (H₁) = C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₅₂₁⋊C₁₃
unambiguous semidirect product	(C₅×C₅₂₁)⋊C₁₃

Fitting, socle, Hall	C₅×C₅₂₁ ⋊ C₁₃
derived, Sylow	C₅₂₁ ⋊ C₅×C₁₃

	subgroup	G/H
center, hypercenter	C₅	C₅₂₁⋊C₁₃
commutator, cosocle, hypocenter	C₅₂₁	C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₅×C₅₂₁	C₁₃
LCS	G ▷ C₅₂₁
UCS	C₁ ◁ C₅

8 conjugacy classes of subgroups.

μ_t(G) = 2605

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33865, 2);