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.1/(6)^1/min.170"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] ) gap> P1 := Group(R.generators); <matrix group with 1 generators> gap> Append(names,["ordnung.1/(6)^1/words.min.170"]); gap> Append(GROUPS,[P1]); gap> R := CaratReadBravaisFile("ordnung.2/(6)^1/group.1043"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 2 ) gap> P2 := Group(R.generators); <matrix group with 1 generators> gap> Append(names,["ordnung.2/(6)^1/words.group.1043"]); gap> Append(GROUPS,[P2]); gap> Print(GROUPS,"\n"); [ Group( [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ]) ] gap> Print(names,"\n"); [ "ordnung.1/(6)^1/words.min.170", "ordnung.2/(6)^1/words.group.1043" ] 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; [ ] gap> LogTo();