GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1 prime 2 class 1 generators {a, b} relations {b^4, b^2 = [b, a, a], b = a^2 * b^-1 * a^2} ; 2 Standard 12 2 0 1 1 1 0 1 1 0 1 0