C₂×C₄×C₁₃×C₁₉ #14520359

order	1976
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 1728
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂

Aliases

C₂×C₄×C₁₃×C₁₉

32 conjugacy classes of subgroups.

minimal degree	μ(G) = 38
transitive degree	μ_t(G) = 1976

A minimal faithful permutation representation — 2 generators on 38 points:

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

1976 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1976, 29);