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, [x, y, y]} ; 2 Class10 8 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