C₃³×C₈×C₉ #14517889

order	1944
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 196515072
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃⁶

Aliases

C₃³×C₈×C₉

1584 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 1944

A minimal faithful permutation representation — 4 generators on 26 points:

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

1944 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2283);