GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
# U/<yu,v> from Edeson's thesis (p. 46) Gr: y,u,v; Rel: y^2, (yu)^2, u^3, (yv)^2, v^3, (uv)^6, (uV)^6, (yuv)^6, (y(uv)^3)^6; Gen: yu,v; Mess:10000; Sims:3; End; # m=86 t=101 Sims:9; End; # m=40 t=43 Fel:1; End; # m=78 t=80 No:7; End; # m=36 t=37 # Duplicate table at top of p.48 AsIs:1; Gr:u,v,y; Rel: y^2, (yu)^2, u^3, (yv)^2, v^3, (uv)^6, (uV)^6, (yuv)^6, (y(uv)^3)^6; Gen: yY, uU, yu, v; Fel; Loop:1; Begin; Loop:2; Redo; Pr:-3; # Use Aep with this to give `best' enumeration ...