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