C₂₅₅₁⋊C₉ #37525809

order	22959
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₂₅₅₁⋊C₉

C₂₅₅₁ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₂₅₅₁⋊C₃
commutator, hypocenter	C₂₅₅₁	C₉
Fitting, socle, prime radical, cosocle	C₃×C₂₅₅₁	C₃
LCS	G ▷ C₂₅₅₁
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 22959

Polycyclic presentation:

3^2,2551|a^3=b,c^a=c^50

2559 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22959, 1);