GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#2-generator 7-groups 1 #set up group presentation c7c7 7 1 1 {a, b} {} 0 7 #compute its 7-covering group 9 #enter p-group generation 1 #supply automorphisms 2 #number of automorphisms 3 0 0 1 6 1 6 0 0 #number of soluble automorphisms 5 #iteration option 2 #class bound 0 #all descendants? 1 #step size 0 #PAG-generating sequence 0 #default algorithm? 0 #rank of initial segment 0 #process terminal descendants completely 0 #exponent law to enforce 0 #metabelian law to enforce 1 #default output 0 #exit 0 #exit