GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 3
class 1
generators {x, y}
relations {(x * y * x)^3}
;
2
Standard
5
5 #number of automorphisms
2 0
0 2
0 2
1 0
1 2
2 2
1 0
2 1
2 0
0 1
1 #PAG-generating sequence?
0