GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1
prime 2
class 1
generators {a, b, c, d}
relations {b^4, b^2 = [b, a, a], d^16 = 1, a^16 = (c * d),
b^8 = (d * c^4), b = a^2 * b^-1 * a^2};
2
Standard
10
2
0 1
1 1
0 1
1 0
1
0