GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 5
class 2
generators {a, b}
relations {a^25, [b, a, a], [b, a, a, a, a, a, b], [b, a, b, b, b, b] = 1,
b^5 = [b, a, a]};
2
Standard5gpB
27
7
1 0 0 1
0 1 0 0
1 0 0 0
0 1 0 1
1 3 0 0
0 1 0 0
1 3 0 0
0 4 0 0
1 2 0 0
0 3 0 0
4 0 0 0
0 1 0 0
3 0 0 0
0 1 0 0
1
0