C₃²×C₉×C₁₇ #13063385

order	1377
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 373248
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃³

Aliases

C₃²×C₉×C₁₇

100 conjugacy classes of subgroups.

minimal degree	μ(G) = 32
transitive degree	μ_t(G) = 1377

A minimal faithful permutation representation — 3 generators on 32 points:

(1,2,3,4,5,6,7,8,9)(16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32);(10,11,12);(13,14,15)

1377 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1377, 11);