GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#compute standard presentation for B(2, 4)
1 #set up group presentation
prime 2
generators {a, b}
exponent 4
class 1;
2 #standard pcp option
EXP4 #file
6 #end class for standardise
2 #number of automorphisms
0 1
1 1
0 1
1 0
1 #PAG-generating sequence?
0 #exit