C₂⁵×C₈×C₁₃ #15749410

order	3328
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 491488542720
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂¹⁵

Aliases

C₂⁵×C₈×C₁₃

15454 conjugacy classes of subgroups.

minimal degree	μ(G) = 31
transitive degree	μ_t(G) = 3328

A minimal faithful permutation representation — 6 generators on 31 points:

(1,2,3,4,5,6,7,8)(19,20,21,22,23,24,25,26,27,28,29,30,31);(9,10);(11,12);(13,14);(15,16);(17,18)

3328 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 56059);