GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W supergroups.g GAP4 Package `RCWA' Stefan Kohl
##
## Data library of groups generated by 3 class transpositions which inter-
## change residue classes with moduli <= 6: part containing lists of
## supergroups.
##
## For all i in [1..52394], supergroups[i] is a list of indices j such that
## grps[j] is a supergroup of grps[i].
##
#############################################################################
local supergroups, subgroups, i, j;
subgroups :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/subgroups.g"))();
supergroups := List([1..52394],i->[]);
for i in [1..52394] do
for j in subgroups[i] do
Add(supergroups[j],i);
od;
od;
return supergroups;
#############################################################################
##
#E supergroups.g . . . . . . . . . . . . . . . . . . . . . . . . . ends here