C₃×C₅×C₉×C₁₃ #13182176

order	1755
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 5184
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃

Aliases

C₃×C₅×C₉×C₁₃

40 conjugacy classes of subgroups.

minimal degree	μ(G) = 30
transitive degree	μ_t(G) = 1755

A minimal faithful permutation representation — 2 generators on 30 points:

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

1755 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1755, 9);