t-groups.log

gap> RequirePackage("carat");
true
gap> names := [];
[  ]
gap> GROUPS := [];
[  ]
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^2/group.1086");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 
              -1, 0, 0 ], [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ] 
     ], size := 16 )
gap> P1 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(8)^2/words.group.1086"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(16)^2/group.1087");
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 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ], 
          [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ] 
     ], size := 16 )
gap> P2 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(16)^2/words.group.1087"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(16)^2/min.204");
rec( 
  generators := [ [ [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ -1, 0, 0, 
              0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], 
          [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], 
          [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 16 )
gap> P3 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(16)^2/words.min.204"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^2/group.1088");
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, 0, 1 ], 
          [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ], 
          [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 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 := 32 )
gap> P4 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^2/words.group.1088"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(16)^2/min.205");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 
              -1, 0, 0 ], [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], 
          [ 0, 0, 0, 0, 1, 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, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 8 )
gap> P5 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(16)^2/words.min.205"]);
gap> Append(GROUPS,[P5]);
gap> Print(GROUPS,"\n");
[ Group(
    [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ], 
          [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ] 
     ]), 
  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 ] ],
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ], 
          [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ] 
     ]), 
  Group([ [ [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ]
            , [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], 
          [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], 
          [ 0, -1, 0, 0, 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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ], 
          [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 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([ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, -1, 0, 0 ]
            , [ 0, -1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], 
          [ 0, 0, 0, 0, 1, 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, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ]) ]
gap> Print(names,"\n");
[ "ordnung.16/(2)^2(8)^2/words.group.1086", 
  "ordnung.16/(2)^4(16)^2/words.group.1087", 
  "ordnung.16/(2)^4(16)^2/words.min.204", 
  "ordnung.32/(2)^4(8)^2/words.group.1088", 
  "ordnung.8/(2)^2(16)^2/words.min.205" ]
gap> Size(GROUPS);
5
gap> Size(names);
5
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
>    SubgroupWords(GROUPS[i], names[i]);
> od;
[ x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x2, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x2, x1^2, x1*x2*x1*x2 ]
[ x1, x1^2, x1*x2*x1*x2 ]
[ x2*x1, x1^2, x1*x2*x1*x2 ]
[ x3, x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x2*x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x2, x1^2 ]
[ x1, x1^2 ]
[ x1*x2, x1^2 ]
gap> LogTo();