GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#all groups with lower exponent-3 series of shape 2-2-3-1
1 #set up group presentation
c3c3
3
1
1
{a, b}
{}
0
7 #compute its 3-covering group
9 #enter p-group generation
1 #supply automorphisms
5 #number of automorphisms
2 0
0 2
0 2
1 0
1 2
2 2
1 0
2 1
2 0
0 1
0 #number of soluble automorphisms
5 #iteration option
4 #class bound
0 #all descendants?
0 #constant step size
2 3 1
1 #PAG-generating sequence
1 #default algorithm?
1 #default output
0 #exit
0 #exit