GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#start point for Nottingham group 1 Nott 5 3 1 {a, b} {a^5, b^5, [b, a, b]} 0 7 #compute 5-covering group 2 Nott 9 1 6 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 4 0 0 1 0 0 0 0 2 0 0 4 0 0 0 0 1 0 0 2 0 0 0 0 1 0 0 0 #number of soluble automorphisms 5 #iteration 4 #class bound 0 #construct all descendants? 1 #step size 1 #PAG-generating sequence 0 #default algorithm? 4 #rank of subgroup 0 #space efficient? 0 #completely process terminal descendants? 0 #exponent law 0 #metabelian law 1 #default output 0 0