GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 7
class 3
generators {a, b}
relations {a^7, b^7 = [b, a, a], [b, a, b, b, b, b, b] = 1}
;
2
Standard
10
7
1 0 0 0 1
0 1 0 0 0
1 0 0 0 0
0 1 0 1 0
1 0 0 0 0
0 1 0 0 1
1 0 0 0 0
6 1 0 0 0
6 0 0 0 0
2 1 0 0 0
6 0 0 0 0
0 6 0 0 0
6 0 0 0 0
4 5 0 0 0
1
0