GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#all 2-generator exponent 4 groups 1 #set up group presentation c2c2 2 1 1 {a, b} {} 0 7 #compute its 2-covering group 9 #enter p-group generation 1 #supply automorphisms 2 #number of automorphisms 0 1 1 1 0 1 1 0 0 #number of soluble automorphisms 5 #iteration option 12 #class bound 1 #all descendants? 0 #order bound? 1 #PAG-generating sequence 0 #default algorithm? 0 #rank of initial segment 0 #space efficiency 1 #process terminal descendants completely 4 #exponent law to enforce 0 #metabelian law to enforce 1 #default output 0 #exit 0 #exit