gap> RequirePackage("carat");
true
gap> names := [];
[  ]
gap> GROUPS := [];
[  ]
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^1(6)^1(72)^1/min.321");
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, -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 := 12 )
gap> P1 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^1(6)^1(72)^1/words.min.321"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^1(6)^1(72)^1/min.322");
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, 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 := 12 )
gap> P2 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^1(6)^1(72)^1/words.min.322"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^1(6)^1(72)^1/min.323");
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, 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 := 12 )
gap> P3 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^1(6)^1(72)^1/words.min.323"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^2(24)^1/min.324");
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, 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 := 12 )
gap> P4 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^2(24)^1/words.min.324"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^2(24)^1/min.325");
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, -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 := 12 )
gap> P5 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^2(24)^1/words.min.325"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^2(24)^1/min.326");
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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 12 )
gap> P6 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^2(24)^1/words.min.326"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(3)^2(6)^2(72)^1/min.327");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 := 12 )
gap> P7 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(3)^2(6)^2(72)^1/words.min.327"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(3)^2(6)^2(72)^1/min.328");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, 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 := 12 )
gap> P8 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(3)^2(6)^2(72)^1/words.min.328"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(3)^2(6)^2(72)^1/min.329");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, 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 := 12 )
gap> P9 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(3)^2(6)^2(72)^1/words.min.329"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(3)^2(6)^2(72)^1/min.330");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 12 )
gap> P10 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(3)^2(6)^2(72)^1/words.min.330"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(6)^2(24)^1/min.331");
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, -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 := 12 )
gap> P11 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(6)^2(24)^1/words.min.331"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(6)^2(24)^1/min.332");
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, 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 := 12 )
gap> P12 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(6)^2(24)^1/words.min.332"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(6)^2(24)^1/min.333");
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, 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 := 12 )
gap> P13 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(6)^2(24)^1/words.min.333"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(6)^2(24)^1/min.334");
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, -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 := 12 )
gap> P14 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(6)^2(24)^1/words.min.334"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/min.335");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 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, -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 := 12 )
gap> P15 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/words.min.335"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/min.336");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 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 ] ], 
      [ [ 1, -1, 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 := 12 )
gap> P16 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/words.min.336"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/min.337");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 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 ] ], 
      [ [ 1, -1, 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 := 12 )
gap> P17 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^1(18)^1(72)^1/words.min.337"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^2(24)^1/min.338");
rec( 
  generators := [ [ [ 1, 1, 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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 12 )
gap> P18 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.338"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^2(24)^1/min.339");
rec( 
  generators := [ [ [ 1, 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, -1, 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 ] 
         ] ], size := 12 )
gap> P19 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.339"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^2(24)^1/min.340");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, 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 := 12 )
gap> P20 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.340"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(6)^2(72)^1/min.341");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 12 )
gap> P21 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(6)^2(72)^1/words.min.341"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(6)^2(72)^1/min.342");
rec( 
  generators := [ [ [ 1, 1, 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 ] ], 
      [ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 12 )
gap> P22 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(6)^2(72)^1/words.min.342"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(6)^2(72)^1/min.343");
rec( 
  generators := [ [ [ 1, 1, 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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 12 )
gap> P23 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(6)^2(72)^1/words.min.343"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(6)^2(72)^1/min.344");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, 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 := 12 )
gap> P24 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(6)^2(72)^1/words.min.344"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(72)^1/group.1746");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P25 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(72)^1/words.group.1746"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1747");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P26 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1747"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1748");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P27 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1748"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1749");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P28 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1749"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1750");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P29 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1750"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1751");
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 ] ], 
      [ [ 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, -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 := 24 )
gap> P30 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1751"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1752");
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 ] ], 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P31 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1752"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1753");
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, -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 ] ]
        , 
      [ [ -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 := 24 )
gap> P32 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1753"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(3)^2(6)^2(72)^1/group.1754");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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, -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 := 24 )
gap> P33 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(3)^2(6)^2(72)^1/words.group.1754"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(6)^2(24)^1/group.1755");
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 ] ], 
      [ [ -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 ] 
         ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P34 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(6)^2(24)^1/words.group.1755"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^1(18)^1(72)^1/group.1756");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 ] ],
      [ [ -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 := 24 )
gap> P35 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^1(18)^1(72)^1/words.group.1756"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1757");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, -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 := 24 )
gap> P36 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1757"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1758");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, 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 := 24 )
gap> P37 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1758"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1759");
rec( 
  generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 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 := 24 )
gap> P38 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1759"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1760");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ 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 ], [ 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 := 24 )
gap> P39 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1760"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1761");
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 ], [ 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, -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 := 24 )
gap> P40 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1761"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1762");
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 ], [ 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, 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 := 24 )
gap> P41 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1762"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1763");
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 ], [ 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, -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 := 24 )
gap> P42 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1763"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1764");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, 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 := 24 )
gap> P43 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1764"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1765");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, -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 := 24 )
gap> P44 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1765"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1766");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P45 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1766"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1767");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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, -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 := 24 )
gap> P46 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1767"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1768");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P47 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1768"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1769");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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, -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 := 24 )
gap> P48 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1769"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1770");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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, -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 := 24 )
gap> P49 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1770"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1771");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P50 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1771"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1772");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P51 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1772"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1773");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P52 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1773"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1774");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ -1, 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 ] ] 
     ], size := 24 )
gap> P53 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1774"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1775");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P54 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1775"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1776");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P55 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1776"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1777");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 ] 
         ], 
      [ [ -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 := 24 )
gap> P56 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1777"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1778");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, -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 := 24 )
gap> P57 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1778"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1779");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ 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 ] ]
        , 
      [ [ 1, -1, 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 := 24 )
gap> P58 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1779"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1780");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ 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 ] ]
        , 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P59 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1780"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1781");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 ] ]
        , 
      [ [ -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 := 24 )
gap> P60 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1781"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1782");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 ] ],
      [ [ -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 := 24 )
gap> P61 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1782"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1783");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ]
        , 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P62 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1783"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1784");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 24 )
gap> P63 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1784"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1785");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, -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 ] ]
        , 
      [ [ -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 := 24 )
gap> P64 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1785"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1786");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] 
         ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 24 )
gap> P65 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1786"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1787");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ], [ 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, -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 := 24 )
gap> P66 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1787"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1788");
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 ], [ 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, -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 := 24 )
gap> P67 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1788"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(72)^1/group.1789");
rec( 
  generators := [ [ [ 1, 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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 ] ],
      [ [ -1, 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 ] ] 
     ], size := 24 )
gap> P68 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(72)^1/words.group.1789"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(24)^1/group.1790");
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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P69 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(24)^1/words.group.1790"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^3(3)^1(6)^2(24)^1/group.1791");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] 
         ], 
      [ [ 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, -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 := 48 )
gap> P70 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^3(3)^1(6)^2(24)^1/words.group.1791"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1792");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ 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, -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 := 48 )
gap> P71 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1792"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1793");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ],
      [ [ 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, -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 := 48 )
gap> P72 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1793"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1794");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] 
         ], 
      [ [ 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, -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 := 48 )
gap> P73 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1794"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1795");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P74 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1795"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1796");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P75 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1796"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1797");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P76 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1797"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1798");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P77 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1798"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1799");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ -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 ] ], 
      [ [ 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, -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 := 48 )
gap> P78 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1799"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1800");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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, -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 ] ]
        , 
      [ [ -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 := 48 )
gap> P79 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1800"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1801");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 48 )
gap> P80 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1801"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1802");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ]
        , 
      [ [ -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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 := 48 )
gap> P81 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1802"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1803");
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 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 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 ] ], 
      [ [ 0, -1, 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 ] ] 
     ], size := 48 )
gap> P82 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1803"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(6)^2(72)^1/group.1804");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ 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 ] ],
      [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 := 48 )
gap> P83 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(6)^2(72)^1/words.group.1804"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^1(6)^1(24)^1/group.1805");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ], 
      [ [ 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 ] ],
      [ [ -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 ] ], 
      [ [ 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, -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 := 96 )
gap> P84 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^1(6)^1(24)^1/words.group.1805"]);
gap> Append(GROUPS,[P84]);
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 ] ], 
      [ [ 0, -1, 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 ] ] 
     ]), 
  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, 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 ] ],
      [ [ 0, 1, 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 ] ] 
     ]), 
  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, 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 ] ]
        , 
      [ [ 0, -1, 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 ] 
         ] ]), 
  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 ] ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 ], [ 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, -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 ], [ 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, 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 ], [ 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, 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 ], [ -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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 ] ],
      [ [ 0, -1, 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 ] ] 
     ]), 
  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, 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 ] ],
      [ [ 0, 1, 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 ] 
         ] ]), 
  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, -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 ], [ 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, -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 ], [ 0, 0, 1, 0, 0, 0 ]
            , [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, -1, 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 ], [ 0, 0, -1, 0, 0, 0 
             ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, -1, 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, 1, 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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 ], [ 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, -1, 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 ] 
         ] ]), 
  Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 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, 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 ], [ -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 ] ], 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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, 1, 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 ] ]
        , 
      [ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 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 ] ] 
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  Group([ [ [ 1, 1, 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 ] ]
        , 
      [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 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 ] 
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  Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
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        , 
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  Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 
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          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
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     ]), 
  Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
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  "ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1759", 
  "ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1760", 
  "ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1761", 
  "ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1762", 
  "ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1763", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1764", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1765", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1766", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1767", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1768", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1769", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1770", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1771", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1772", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1773", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1774", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1775", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1776", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1777", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1778", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1779", 
  "ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1780", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1781", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1782", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1783", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1784", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1785", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1786", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1787", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1788", 
  "ordnung.24/(1)^4(6)^2(72)^1/words.group.1789", 
  "ordnung.48/(1)^2(2)^2(24)^1/words.group.1790", 
  "ordnung.48/(1)^3(3)^1(6)^2(24)^1/words.group.1791", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1792", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1793", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1794", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1795", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1796", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1797", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1798", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1799", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1800", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1801", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1802", 
  "ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1803", 
  "ordnung.48/(1)^4(6)^2(72)^1/words.group.1804", 
  "ordnung.96/(1)^4(2)^1(6)^1(24)^1/words.group.1805" ]
gap> Size(GROUPS);
84
gap> Size(names);
84
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
>    SubgroupWords(GROUPS[i], names[i]);
> od;
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1*x2^2, x2^2 ]
[ x2*x1, x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2*x1, x1*x2*x1*x2 ]
[ x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2 ]
[ x1*x2*x1, x1*x2*x1*x2 ]
[ x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x2^2*x1, x2^2 ]
[ x1*x2, x2^2 ]
[ x2^3, x2^2*x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1*x2^2, x2^2 ]
[ x2*x1, x2^2 ]
[ x2^3, x1*x2^2 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x2, x3^4 ]
[ x1*x2, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x1*x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x1*x3, x2^3, x2^4 ]
[ x1*x3, x1, x2^4 ]
[ x1*x3, x1*x2^3, x2^4 ]
[ x2^3, x1, x2^4 ]
[ x3, x2^3, x2^4 ]
[ x1*x2^3*x3, x1, x2^4 ]
[ x3, x1*x2^3, x2^4 ]
[ x1*x3, x2^3, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x2, x3^4 ]
[ x1*x2, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x1*x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3, x2^3, x2^2 ]
[ x1*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x3, x2^3, x2^2 ]
[ x1*x2^3*x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x1*x3, x2^3, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x1*x2*x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x2*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x2*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x2*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x2, x1 ]
[ x3, x1^5*x2, x1^2 ]
[ x3, x1^3, x1^2 ]
[ x3, x1^2*x2, x1^2 ]
[ x1^5*x2, x1^3, x1^2 ]
[ x1^3*x3, x1^5*x2, x1^2 ]
[ x1^5*x2*x3, x1^3, x1^2 ]
[ x1^3*x3, x1^2*x2, x1^2 ]
[ x3, x1^5*x2, x1^3 ]
[ x3, x2, x1*x3*x1*x3 ]
[ x3, x1*x3*x1*x3*x1, x1*x3*x1*x3 ]
[ x3, x1*x2*x3*x1*x3*x1, x1*x3*x1*x3 ]
[ x2, x1*x3*x1*x3*x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x2*x3, x1*x3*x1*x3*x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1, x1*x3*x1*x3 ]
[ x3, x2, x1*x3*x1*x3*x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x2*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x2*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x2*x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x1*x2*x3^3, x1*x2, x3^2 ]
[ x2*x3^3, x2, x1 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2*x3^2, x3^2 ]
[ x1*x2*x3^2, x1, x3^2 ]
[ x1*x3^3, x1*x2*x3^2, x3^2 ]
[ x1*x3*x2, x1, x3^2 ]
[ x1*x3^3, x2*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3, x2^3, x2^2 ]
[ x1*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x3, x2^3, x2^2 ]
[ x1*x2^3*x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x1*x3, x2^3, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x2, x1*x3^2, x3^2 ]
[ x3*x1, x2, x3^2 ]
[ x2*x3^3, x1*x3^2, x3^2 ]
[ x3*x1, x1*x2*x3^2, x3^2 ]
[ x3^3, x2, x1*x3^2 ]
[ x1*x3, x2^3, x2^2 ]
[ x1*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x3, x2^3, x2^2 ]
[ x1*x2^3*x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x1*x3, x2^3, x1 ]
[ x1*x2^3*x3, x2^3, x2^2 ]
[ x1*x2^3*x3, x1, x2^2 ]
[ x1*x2^3*x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x2^3*x3, x2^3, x2^2 ]
[ x1*x3, x1, x2^2 ]
[ x2^3*x3, x1*x2^3, x2^2 ]
[ x1*x2^3*x3, x2^3, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x1*x2*x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x2*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x2*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x2*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x2, x1 ]
[ x1*x3, x2^3, x2^2 ]
[ x1*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x3, x2^3, x2^2 ]
[ x1*x2^3*x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x1*x3, x2^3, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2*x3^2, x3^2 ]
[ x1*x2*x3^2, x1, x3^2 ]
[ x1*x3^3, x1*x2*x3^2, x3^2 ]
[ x1*x3*x2, x1, x3^2 ]
[ x1*x3^3, x2*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x1 ]
[ x3, x2^3, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x1*x3, x2^3, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x3, x2^3, x1 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x1*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x1*x2*x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x1*x3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x1*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x1*x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x1*x2*x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x1*x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x1*x2*x4, x3^3, x2, x3^2 ]
[ x1*x2*x4, x3^3, x1, x3^2 ]
[ x1*x2*x4, x3^3, x1*x2, x3^2 ]
[ x1*x2*x4, x2, x1, x3^2 ]
[ x1*x2*x4, x1*x3^3, x2, x3^2 ]
[ x1*x2*x4, x2*x3^3, x1, x3^2 ]
[ x1*x2*x4, x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1, x3^2 ]
[ x2*x4, x3^3, x2, x3^2 ]
[ x1*x4, x3^3, x1, x3^2 ]
[ x2*x4, x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3*x4, x2, x1, x3^2 ]
[ x2*x4, x1*x3^3, x2, x3^2 ]
[ x1*x4, x2*x3^3, x1, x3^2 ]
[ x2*x4, x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x4, x3^3, x2, x1 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1 ]
[ x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x5^3, x2*x4, x1*x3, x1, x5^2 ]
[ x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x2*x4, x2, x1, x5^2 ]
[ x5^3, x2*x4, x3, x2, x5^2 ]
[ x5^3, x2*x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x3, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x1*x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x3*x4, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x2*x4, x1*x3, x2, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x1*x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x3*x5^3, x2*x4, x2, x1, x5^2 ]
[ x1*x5^3, x2*x4, x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x2*x4*x5^3, x1*x3, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x4, x1*x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x3*x5^3, x1*x2*x3*x4, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x2*x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x5^3, x2*x4, x1*x3, x2, x1 ]
gap> LogTo();