GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 5
class 3
generators {a, b}
relations {a^5, b^5, [b, a, b]} ;
2
Standard
10
6
1 0 0 0
0 1 0 1
1 1 0 0
0 1 0 0
1 0 0 0
0 4 0 0
1 0 0 0
0 2 0 0
4 0 0 0
0 1 0 0
2 0 0 0
0 1 0 0
1
0