C₃²×C₉²×C₁₉ #28353051

order	13851
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	?
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃⁵×C₉

Aliases

C₃²×C₉²×C₁₉

2132 conjugacy classes of subgroups.

minimal degree	μ(G) = 43
transitive degree	μ_t(G) = 13851

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9)(25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43);(10,11,12,13,14,15,16,17,18);(19,20,21);(22,23,24)

13851 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 415);