C₅²×C₈² #13099602

order	1600
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 737280
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₅×C₈

Aliases

C₅²×C₈²

296 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 1600

A minimal faithful permutation representation — 2 generators on 26 points:

(1,2,3,4,5,6,7,8)(17,18,19,20,21);(9,10,11,12,13,14,15,16)(22,23,24,25,26)

1600 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 1954);