GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#Example: "3gp-PG-i" . . . based on: examples/pga_3gp
#All groups with lower exponent-3 series of shape 2-2-3-1
#vars: F, procId;
#options: OutputLevel
F := FreeGroup("a", "b");
procId := PqStart(F : Prime := 3);
#comment: set a different print level by supplying <OutputLevel>
PqPcPresentation(procId : ClassBound := 1,
#sub <OutputLevel> for <1> if set and ok
OutputLevel := 1);;
PqComputePCover(procId);;
PqPGSupplyAutomorphisms(procId, [ [[2,0],
[0,2]],
[[0,2],
[1,0]],
[[1,2],
[2,2]],
[[1,0],
[2,1]],
[[2,0],
[0,1]] ]);;
PqPGConstructDescendants(procId : ClassBound := 4,
CapableDescendants,
StepSize := [2, 3, 1],
PcgsAutomorphisms,
BasicAlgorithm);;