C₂⁵×C₃×C₁₃ #11929348

order	1248
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 239984640
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂¹⁰

Aliases

C₂⁵×C₃×C₁₃

1496 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 1248

A minimal faithful permutation representation — 5 generators on 26 points:

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

1248 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1248, 1460);