GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 3
class 1
generators {a, b}
relations {(b * [b, a] * [b, a, b])^3, ([b, a] * [b, a, b]^2)^3,
[b, a, a]}
;
2
Class7
7
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