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