C₂²×C₅×C₅₄₁⋊C₃ #44570227

order	32460
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₅₄₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅	C₅₄₁⋊C₃
commutator, cosocle, hypocenter	C₅₄₁	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₅₄₁	C₃
LCS	G ▷ C₅₄₁
UCS	C₁ ◁ C₂²×C₅

40 conjugacy classes of subgroups.

μ_t(G) = 10820

3660 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32460, 63);