C₃×C₈×C₉² #14516378

order	1944
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 2519424
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃²×C₉

Aliases

C₃×C₈×C₉²

504 conjugacy classes of subgroups.

minimal degree	μ(G) = 29
transitive degree	μ_t(G) = 1944

A minimal faithful permutation representation — 3 generators on 29 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);(27,28,29)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 772);