C₃⁶×C₁₉ #28353140

order	13851
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	?
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₃¹⁵

Aliases

C₃⁶×C₁₉

113264 conjugacy classes of subgroups.

minimal degree	μ(G) = 37
transitive degree	μ_t(G) = 13851

A minimal faithful permutation representation — 6 generators on 37 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 504);