C₉²×C₁₇ #13063376

order	1377
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 62208
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₉

Aliases

C₉²×C₁₇

46 conjugacy classes of subgroups.

minimal degree	μ(G) = 35
transitive degree	μ_t(G) = 1377

A minimal faithful permutation representation — 2 generators on 35 points:

(1,2,3,4,5,6,7,8,9)(19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35);(10,11,12,13,14,15,16,17,18)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1377, 2);