C₁₉×#1736 #14559593

order	2432
nilpotency class	3
isoclinism	isoclinic class of AGL(1,ℤ/8)
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₁₉ · Schur multiplier (H₂) = C₂³×C₄

Aliases

448 conjugacy classes of subgroups.

minimal degree	μ(G) = 35
transitive degree	μ_t(G) = 1216

A minimal faithful permutation representation — 3 generators on 35 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)(29,33)(30,31)(34,35);(21,23)(28,29,31,35,32,34,30,33);(29,34)(33,35)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 468);