GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 2
class 1
generators {a, b}
relations {a^4 = [b, a, a, a, a, a],
b * a^2 * b^-1 * a^-2 = [b, a, a, a, a, a],
b^2 = [b, a, a, a, a, a]}
;
2 #standardise
CLASS8 #file
8 #class
2 #nmr of auts
0 1
1 1
0 1
1 0
1 #PAG-generating sequence
0