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, b, b, b], [b, a, b, b, b], [a, b, a], b^5} ; 2 Standard 10 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