C₂×C₉³ #13090028

order	1458
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 221079456
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₉³

Aliases

C₂×C₉³

890 conjugacy classes of subgroups.

minimal degree	μ(G) = 29
transitive degree	μ_t(G) = 1458

A minimal faithful permutation representation — 3 generators on 29 points:

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

1458 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1458, 102);