C₂⁸×C₁₇ #16920848

order	4352
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order ≥ 2⁶³
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂²⁸

Aliases

C₂⁸×C₁₇

834398 conjugacy classes of subgroups.

minimal degree	μ(G) = 33
transitive degree	μ_t(G) = 4352

A minimal faithful permutation representation — 8 generators on 33 points:

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

4352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 56092);