GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap> RequirePackage("carat"); true gap> names := []; [ ] gap> GROUPS := []; [ ] gap> R := CaratReadBravaisFile("ordnung.3/(3)^1(9)^1/min.290"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 1 ], [ 0, -1, -1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ] ] ], size := 3 ) gap> P1 := Group(R.generators); <matrix group with 1 generators> gap> Append(names,["ordnung.3/(3)^1(9)^1/words.min.290"]); gap> Append(GROUPS,[P1]); gap> R := CaratReadBravaisFile("ordnung.6/(3)^1(9)^1/group.1608"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 1, 0 ] ] ], size := 6 ) gap> P2 := Group(R.generators); <matrix group with 1 generators> gap> Append(names,["ordnung.6/(3)^1(9)^1/words.group.1608"]); gap> Append(GROUPS,[P2]); gap> Print(GROUPS,"\n"); [ Group( [ [ [ -1, 0, 0, 0, 0, 1 ], [ 0, -1, -1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, -1, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ] ] ]), Group([ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, -1 ], [ 0, 0, 0, 0, 1, 0 ] ] ]) ] gap> Print(names,"\n"); [ "ordnung.3/(3)^1(9)^1/words.min.290", "ordnung.6/(3)^1(9)^1/words.group.1608" ] gap> Size(GROUPS); 2 gap> Size(names); 2 gap> Read("../../TGROUPS.GAP"); gap> for i in [1..Size(GROUPS)] do > SubgroupWords(GROUPS[i], names[i]); > od; [ ] [ x1^3 ] [ x1^4 ] gap> LogTo();