GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
5 0 1 prime 11 class 3 generators {a, b} relations {a^11, b^11 = [b, a, a]^2, [b, a, b, b, b, b] = 1} ; 2 Standard 19 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 3 1 0 0 0 1 0 0 0 0 9 3 0 0 0 1 0 0 0 0 6 6 0 0 0 10 0 0 0 0 2 1 0 0 0 1 0