C₃×C₁₇×C₂₇ #13063379

order	1377
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 5184
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃

Aliases

C₃×C₁₇×C₂₇

28 conjugacy classes of subgroups.

minimal degree	μ(G) = 47
transitive degree	μ_t(G) = 1377

A minimal faithful permutation representation — 2 generators on 47 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)(31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47);(28,29,30)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1377, 5);