GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
B44
2 #prime
1 #class
1 #print level
{a, b, c, d} #gens
{ } #number of rels
4
8
18 #supply auts
2 #number of auts
0 0 0 1
1 0 0 0
0 1 0 0
0 0 1 0
1 1 0 0
0 1 0 0
0 0 1 0
0 0 0 1
0
6
20
6
20
6
20
6
20
6
20
2
B44
0