C₂³×C₃⁵ #14519579

order	1944
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 79895167672320
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂³×C₃¹⁰

Aliases

C₂³×C₃⁵

42624 conjugacy classes of subgroups.

minimal degree	μ(G) = 21
transitive degree	μ_t(G) = 1944

A minimal faithful permutation representation — 5 generators on 21 points:

(1,2)(7,8,9);(3,4)(10,11,12);(5,6)(13,14,15);(16,17,18);(19,20,21)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3973);