GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
1 #set up start information
prime 2
class 2
generators {a, b}
relations {a^4, b^2 = [b, a, b]};
2 #standardise presentation
Standard #file name for iteration information
10 #standardise to what class?
3 #number of automorphisms?
1 0 0 1
0 1 0 0
1 0 0 0
0 1 0 1
1 1 1 0
0 1 1 1
1 #PAG-generating sequence for aut gp
4 #display standard presentation for class 10 2-quotient
0 #exit