gap> RequirePackage("carat");
true
gap> names := [];
[  ]
gap> GROUPS := [];
[  ]
gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^2(18)^1/group.2700");
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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 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/(2)^2(6)^2(18)^1/words.group.2700"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^2/group.2701");
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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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/(2)^3(6)^2/words.group.2701"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^2/group.2702");
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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 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/(2)^3(6)^2/words.group.2702"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^2/group.2703");
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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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/(2)^3(6)^2/words.group.2703"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^6/group.2704");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
              0, 0 ], [ 0, 0, -1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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/(2)^3(6)^6/words.group.2704"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^6/group.2705");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 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, -1, 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/(2)^3(6)^6/words.group.2705"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^3(6)^6/group.2706");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
              0, 0 ], [ 0, 0, -1, 0, 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, -1, 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/(2)^3(6)^6/words.group.2706"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^5(6)^1/group.2707");
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, 0, 0, 0, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 144 )
gap> P8 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^3(3)^5(6)^1/words.group.2707"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^2(6)^1/group.2708");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 0, 0, 0, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 144 )
gap> P9 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^2(6)^1/words.group.2708"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^1/group.2709");
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, 1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 144 )
gap> P10 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^1/words.group.2709"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2710");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 144 )
gap> P11 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2710"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2711");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 144 )
gap> P12 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2711"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2712");
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, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 144 )
gap> P13 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2712"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2713");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 144 )
gap> P14 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2713"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2714");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 144 )
gap> P15 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2714"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2715");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 144 )
gap> P16 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2715"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2716");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 144 )
gap> P17 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2716"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1/group.2717");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, -1, 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 144 )
gap> P18 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1/words.group.2717"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^1/group.2718");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 18 )
gap> P19 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^1/words.group.2718"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^1/group.2719");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 18 )
gap> P20 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^1/words.group.2719"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^1/group.2720");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 18 )
gap> P21 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^1/words.group.2720"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^1/group.2721");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 18 )
gap> P22 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^1/words.group.2721"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^1/group.2722");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
              0, 0 ], [ 0, 0, 1, -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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 18 )
gap> P23 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^1/words.group.2722"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^1/group.2723");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 18 )
gap> P24 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^1/words.group.2723"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^4(9)^2(18)^1/group.2724");
rec( 
  generators := [ [ [ -1, -1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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 := 18 )
gap> P25 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^4(9)^2(18)^1/words.group.2724"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^4(9)^2(18)^1/group.2725");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 18 )
gap> P26 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^4(9)^2(18)^1/words.group.2725"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.18/(3)^4(18)^1/group.2726");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 18 )
gap> P27 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(3)^4(18)^1/words.group.2726"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.18/(3)^6(6)^1/group.2727");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
              0, 0 ], [ 0, 0, 1, -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, 1, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 18 )
gap> P28 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(3)^6(6)^1/words.group.2727"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.18/(3)^6(6)^1/group.2728");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 18 )
gap> P29 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(3)^6(6)^1/words.group.2728"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^3(6)^2/group.2729");
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, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 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/(2)^3(6)^2/words.group.2729"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^3(6)^6/group.2730");
rec( 
  generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 24 )
gap> P31 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^3(6)^6/words.group.2730"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4/group.2731");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 24 )
gap> P32 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4/words.group.2731"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4/group.2732");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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/(2)^5(6)^4/words.group.2732"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4/group.2733");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 24 )
gap> P34 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4/words.group.2733"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4/group.2734");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 24 )
gap> P35 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4/words.group.2734"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1/group.2735");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 0, 0, 0, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 288 )
gap> P36 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^5(3)^3(6)^1/words.group.2735"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(18)^1/group.2736");
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 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P37 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(18)^1/words.group.2736"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(18)^1/group.2737");
rec( 
  generators := [ [ [ 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P38 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(18)^1/words.group.2737"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^3(9)^1(18)^1/group.2738");
rec( 
  generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 
              -1, 0, 0 ], [ 0, 0, 1, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P39 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^3(9)^1(18)^1/words.group.2738"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2739");
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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P40 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2739"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2740");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 36 )
gap> P41 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2740"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2741");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, -1, 0, 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 := 36 )
gap> P42 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2741"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2742");
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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P43 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2742"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2743");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P44 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2743"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2744");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P45 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2744"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2745");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P46 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2745"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1/group.2746");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P47 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1/words.group.2746"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(9)^2(18)^1/group.2747");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P48 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(9)^2(18)^1/words.group.2747"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^1/group.2748");
rec( 
  generators := [ [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, -1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P49 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^1/words.group.2748"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^1/group.2749");
rec( 
  generators := [ [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, -1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P50 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^1/words.group.2749"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^1/group.2750");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P51 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^1/words.group.2750"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^1/group.2751");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P52 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^1/words.group.2751"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1/group.2752");
rec( 
  generators := [ [ [ 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P53 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1/words.group.2752"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1/group.2753");
rec( 
  generators := [ [ [ 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P54 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1/words.group.2753"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1/group.2754");
rec( 
  generators := [ [ [ 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P55 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1/words.group.2754"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^1/group.2755");
rec( 
  generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P56 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^1/words.group.2755"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^1/group.2756");
rec( 
  generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P57 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^1/words.group.2756"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^1/group.2757");
rec( 
  generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P58 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^1/words.group.2757"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2758");
rec( 
  generators := [ [ [ -1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, -1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P59 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2758"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2759");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              0, 0, 0 ], [ 0, 0, -1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P60 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2759"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2760");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P61 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2760"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2761");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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 := 36 )
gap> P62 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2761"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2762");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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 := 36 )
gap> P63 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2762"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^1/group.2763");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P64 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2763"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1/group.2764");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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 := 36 )
gap> P65 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1/words.group.2764"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1/group.2765");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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 := 36 )
gap> P66 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1/words.group.2765"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1/group.2766");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P67 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1/words.group.2766"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1/group.2767");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P68 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1/words.group.2767"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1/group.2768");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P69 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1/words.group.2768"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1/group.2769");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 36 )
gap> P70 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1/words.group.2769"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^1/group.2770");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 36 )
gap> P71 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^1/words.group.2770"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^1/group.2771");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P72 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^1/words.group.2771"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^1/group.2772");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, 1, -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, 1, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 36 )
gap> P73 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^1/words.group.2772"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.36/(3)^6(6)^1/group.2773");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 
              -1, 0, 0 ], [ 0, 0, 1, 0, 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 := 36 )
gap> P74 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(3)^6(6)^1/words.group.2773"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^5(6)^4/group.2774");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 0, 0, 0, 0, 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, -1, 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/(2)^5(6)^4/words.group.2774"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.6/(2)^2(6)^2(18)^1/min.403");
rec( 
  generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ] ], size := 6 )
gap> P76 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.6/(2)^2(6)^2(18)^1/words.min.403"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.6/(2)^2(6)^2(18)^1/min.404");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ] ], size := 6 )
gap> P77 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.6/(2)^2(6)^2(18)^1/words.min.404"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1/group.2775");
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, 0, 0, 0, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P78 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1/words.group.2775"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1/group.2776");
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, 1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P79 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1/words.group.2776"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^1/group.2777");
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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P80 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^6(18)^1/words.group.2777"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^1(6)^1/group.2778");
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, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P81 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^1(6)^1/words.group.2778"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^1/group.2779");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P82 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(18)^1/words.group.2779"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^4(9)^1(18)^1/group.2780");
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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P83 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^4(9)^1(18)^1/words.group.2780"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^4(9)^1(18)^1/group.2781");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P84 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^4(9)^1(18)^1/words.group.2781"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2782");
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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P85 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2782"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2783");
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, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P86 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2783"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2784");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P87 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2784"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2785");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P88 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2785"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2786");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P89 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2786"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2787");
rec( 
  generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P90 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2787"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1/group.2788");
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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P91 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1/words.group.2788"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2789");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P92 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2789"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2790");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P93 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2790"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2791");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P94 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2791"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2792");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P95 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2792"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2793");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P96 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2793"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2794");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P97 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2794"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1/group.2795");
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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P98 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1/words.group.2795"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2796");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P99 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2796"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2797");
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, 1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P100 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2797"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2798");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P101 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2798"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2799");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P102 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2799"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2800");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P103 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2800"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2801");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 1, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P104 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2801"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^1/group.2802");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P105 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^1/words.group.2802"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2803");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
    , size := 72 )
gap> P106 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2803"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2804");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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, -1, 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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P107 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2804"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2805");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P108 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2805"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2806");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P109 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2806"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2807");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P110 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2807"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2808");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 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, -1, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ], size := 72 )
gap> P111 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2808"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2809");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 
              1, 0, 0 ], [ 0, 0, 1, 0, 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, 1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P112 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2809"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2810");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 
              0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P113 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2810"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2811");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P114 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2811"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1/group.2812");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ], size := 72 )
gap> P115 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1/words.group.2812"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.9/(3)^4(18)^1/min.405");
rec( 
  generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              -1, 0, 0 ], [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] 
         ] ], size := 9 )
gap> P116 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.9/(3)^4(18)^1/words.min.405"]);
gap> Append(GROUPS,[P116]);
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 ] 
         ], 
      [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ]), 
  Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ]), 
  Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
            , [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ]), 
  Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
          [ 0, 0, -1, 0, 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, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 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, 0, -1, 0, 0 ],
          [ 0, 0, -1, 0, 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, -1, 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, 0, 0, 0, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] 
         ] ]), 
  Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, 0, 0, 0, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 0, 0, 0, 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, 1, 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, -1, 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, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 1, 0, 0 ],
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], 
          [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
      [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 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, 0, 0, 0, 0, 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, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
          [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
        , 
      [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 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, -1, 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, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 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, 0, 1, 0, 0 ], 
          [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] 
     ]), 
  Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
            , [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], 
          [ 0, 0, 0, 0, 0, -1 ] ], 
      [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 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, -1, 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, -1, 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, 1, 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, -1, 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, -1, 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, -1, 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, 1, 0, 0 ],
          [ 0, 0, -1, 0, 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, 1, 0, 0 ],
          [ 0, 0, -1, 0, 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, 1, 0, 0 ],
          [ 0, 0, -1, 0, 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, 1, 0, 0 ],
          [ 0, 0, -1, 0, 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 ] 
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  "ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2761", 
  "ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2762", 
  "ordnung.36/(1)^3(3)^4(9)^1(18)^1/words.group.2763", 
  "ordnung.36/(1)^3(3)^5(6)^1/words.group.2764", 
  "ordnung.36/(1)^3(3)^5(6)^1/words.group.2765", 
  "ordnung.36/(1)^3(3)^5(6)^1/words.group.2766", 
  "ordnung.36/(1)^4(3)^2(6)^1/words.group.2767", 
  "ordnung.36/(1)^4(3)^2(6)^1/words.group.2768", 
  "ordnung.36/(1)^4(3)^2(6)^1/words.group.2769", 
  "ordnung.36/(1)^4(3)^4(18)^1/words.group.2770", 
  "ordnung.36/(1)^4(3)^4(18)^1/words.group.2771", 
  "ordnung.36/(1)^4(3)^4(18)^1/words.group.2772", 
  "ordnung.36/(3)^6(6)^1/words.group.2773", 
  "ordnung.48/(2)^5(6)^4/words.group.2774", 
  "ordnung.6/(2)^2(6)^2(18)^1/words.min.403", 
  "ordnung.6/(2)^2(6)^2(18)^1/words.min.404", 
  "ordnung.72/(1)^2(3)^4(6)^1/words.group.2775", 
  "ordnung.72/(1)^2(3)^4(6)^1/words.group.2776", 
  "ordnung.72/(1)^2(3)^6(18)^1/words.group.2777", 
  "ordnung.72/(1)^3(3)^1(6)^1/words.group.2778", 
  "ordnung.72/(1)^3(3)^3(18)^1/words.group.2779", 
  "ordnung.72/(1)^3(3)^4(9)^1(18)^1/words.group.2780", 
  "ordnung.72/(1)^3(3)^4(9)^1(18)^1/words.group.2781", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2782", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2783", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2784", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2785", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2786", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2787", 
  "ordnung.72/(1)^3(3)^5(6)^1/words.group.2788", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2789", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2790", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2791", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2792", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2793", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2794", 
  "ordnung.72/(1)^4(3)^2(6)^1/words.group.2795", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2796", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2797", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2798", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2799", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2800", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2801", 
  "ordnung.72/(1)^4(3)^4(18)^1/words.group.2802", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2803", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2804", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2805", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2806", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2807", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2808", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2809", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2810", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2811", 
  "ordnung.72/(1)^5(3)^3(6)^1/words.group.2812", 
  "ordnung.9/(3)^4(18)^1/words.min.405" ]
gap> Size(GROUPS);
116
gap> Size(names);
116
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, x2^4 ]
[ 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 ]
[ x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x1, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1 ]
[ 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 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x1, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x1*x2, x4^2, x3^2 ]
[ x1*x4^3, x1, x2, x4^2, x3^2 ]
[ x1*x4^3, x3^2*x4^2*x3, x1, x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x4^3, x3^2*x4^2*x3, x1*x2, x4^2, x3^2 ]
[ x2*x3^2*x4^2*x3, x1, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x2*x3^2*x4^2*x3, x1, x4^2, x3^2 ]
[ x4^3, x2*x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x2*x3^2*x4^2*x3, x1*x2, x4^2, x3^2 ]
[ x1*x2*x3^3*x4, x1, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x3^2*x4^2*x3, x1, x4^2, x3^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x3^2*x4^2*x3, x1*x2, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x1, x2, x3^2 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x1, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2, 
  x3*x4*x3*x4 ]
[ x2, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2, x1, x3^2, x3*x4*x3*x4 ]
[ x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x2*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ]
[ x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3^2 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3, x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x3, x2, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x3*x4*x1*x4*x1*x4, x2, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3, x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x2, x1, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x2, x1, x4^2 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x1*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x3^2*x4^2*x3, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2, x1, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x1, x3^2, x4^2 ]
[ x3^4*x4^3, x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x3^4*x4^3, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x3^2*x4^2*x3, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x2, x1, x2*x3^2*x4^2*x3, x3^2 ]
[ x1*x3^4*x4^3, x2, x1, x2*x3^2*x4^2*x3, x4^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x3^3, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x3^3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x3^2*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2*x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4*x1*x4 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x3, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4^2*x2 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4*x2*x4 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, 
  x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, 
  x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, 
  x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, 
  x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4^2*x2 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, 
  x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, 
  x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, 
  x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x2^4, x1 ]
[ x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^4 ]
[ x2^3, x1*x2^4 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^2, x1^2 ]
[ x2^3, x1^2 ]
[ x2^3, x2^2 ]
[ x2^2, x1^2 ]
[ x2^3, x1^2 ]
[ x2^3, x2^2 ]
[ x1*x2*x1, x1*x3*x1 ]
[ x2*x3*x1, x1*x2*x1 ]
[ x2*x3*x1, x1*x3*x1 ]
[ x2*x3*x1, x1*x2*x1*x3 ]
[ x2*x3*x1, x1*x2*x3*x1 ]
[ x1*x2*x1, x1*x3*x1 ]
[ x1, x1*x2*x1 ]
[ x1, x1*x3*x1 ]
[ x1, x1*x2*x1*x3 ]
[ x1, x1*x2*x3*x1 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^2, x1^2 ]
[ x1*x2^3, x1^2 ]
[ x1*x2^3, x2^2 ]
[ x2^2, x1^2 ]
[ x2^3, x1^2 ]
[ x2^3, x2^2 ]
[ 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*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*x3^3, 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 ]
[ 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, 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 ]
[ x5*x1*x5*x1*x5, x4, x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2*x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x1*x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x1*x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x3, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x4, x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x4, x2*x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x4, x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x3*x4, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x4, x1*x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x4, x1*x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x4, x2*x3, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x4, x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x5*x1*x5*x1*x5, x4, x2*x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x4, x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x3*x5*x1*x5*x1*x5, x4, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x4, x1*x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x5*x1*x5*x1*x5, x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x4, x1*x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x4*x5*x1*x5*x1*x5, x2*x3, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x4, x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x5*x1*x5*x1*x5, x2*x4, x2*x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x4, x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x3*x5*x1*x5*x1*x5, x2*x3*x4, x2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x4, x1*x2*x3, x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x2*x5*x1*x5*x1*x5, x2*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x4, x1*x2*x3, x1*x2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2*x3, x2, x1, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2*x3, x2, x1, x5^2 ]
[ x2^3, x2^2, x1^2 ]
[ x1^3, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x1^2*x2^3, x2^4, x1^4 ]
[ x1^3, x2^4, x1^4 ]
[ x1^5*x2^3, x2^4, x1^4 ]
[ x1^2*x2^3, x1^3, x1^4 ]
[ x1^2*x2^3, x1^3, x2^4 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3*x2^2, x1^4, x2^2 ]
[ x1^2*x2*x1, x1^4, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^4 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3*x2^2, x1^4, x2^2 ]
[ x1^2*x2*x1, x1^4, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^4 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^2, x1^2, x2^2 ]
[ x1^2*x2*x1, x1^2, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^2*x2^2*x1, x1^4, x2^2 ]
[ x1^3*x2, x1^4, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x1^4 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3*x2^2, x1^4, x2^2 ]
[ x1^2*x2*x1, x1^4, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^4 ]
[ x3^3, x1*x2*x3^2*x1, x3^2 ]
[ x3^2*x1, x1*x2*x3^2*x1, x3^2 ]
[ x1*x3, x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x3^2*x1, x1*x2*x3^2*x1 ]
[ x3^3, x3^2*x1, x3^2 ]
[ x3^3, x3^2*x1, x1*x2*x1*x3^2 ]
[ x3^3, x3^2*x1, x1*x2*x1 ]
[ x2^3, x1^2, x2^2 ]
[ x1^2*x2^2*x1, x1^2, x2^2 ]
[ x1^3*x2, x1^2, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x1^2 ]
[ x2^3, x1^2*x2^2*x1, x2^2 ]
[ x1^4*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1^4*x2^3, x1^3, x2^2 ]
[ x1^4*x2^3, x1^3, x1^2 ]
[ x1^5*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1^5*x2^3, x1^3, x2^2 ]
[ x1^5*x2^3, x1^3, x1^2 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x2^2, x1^2 ]
[ x1^3, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x2^2, x1^4 ]
[ x1^3, x2^2, x1^4 ]
[ x1^3*x2^3, x2^2, x1^4 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1^3*x2^3, x1^4, x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x1^5*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1^5*x2^3, x1^3, x2^2 ]
[ x1^5*x2^3, x1^3, x1^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x1*x2*x3^2, x1*x2*x1, x3^2 ]
[ x1*x2*x1*x3*x1, x1*x2*x1, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x1 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3^2*x1 ]
[ x3^3, x1*x2*x3^2, x1*x2*x1*x3^2 ]
[ x1*x3^3, x1*x2*x1, x3^2 ]
[ x1, x1*x2*x1, x3^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x3^2*x1 ]
[ x1*x3^3, x1, x1*x2*x1*x3^2 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x2, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x2*x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x3*x1*x3 ]
[ x1*x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1, x1*x2*x1*x3^2, x3^2 ]
[ x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1 ]
[ x1*x3^3, x1, x1*x2*x3^2*x1 ]
[ x3*x1, x1*x2*x1, x3^2 ]
[ x1*x3^2, x1*x2*x1, x3^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x1 ]
[ x3*x1, x1*x3^2, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2*x1 ]
[ x3*x1, x1*x3^2, x1*x2*x1*x3^2 ]
[ x3*x1, x1*x2*x3^2*x1, x3^2 ]
[ x1*x3^2, x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x1*x2*x3^2*x1, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2*x1 ]
[ x3*x1, x1*x3^2, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x1*x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x1 ]
[ x2^3, x1^4, x2^2 ]
[ x1^2*x2^2*x1, x1^4, x2^2 ]
[ x1^3*x2, x1^4, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x1^4 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x1*x2^3*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^3*x1, x2*x1*x2, x1*x2^2*x1 ]
[ x1*x2^3*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1^3*x2^3, x1^4, x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1*x4*x1, x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x4*x1*x4 ]
[ x1^3 ]
[ x1^4 ]
[ x1^3 ]
[ x1^4 ]
[ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1, x1*x3^2*x1*x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x2^4 ]
[ x1*x2^2*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^2*x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^2*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^5*x3, x1, x2^2, x3^2 ]
[ x2^2*x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^5*x3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^2*x3^3, x1, x2^2*x3^2*x2, x2^2 ]
[ x1*x2^2*x3^3, x1, x2^2*x3^2*x2, x3^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x3^3, x2^3, x1, x3^2 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^2 ]
[ x3^3, x2^3, x1, x2^2*x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x2^3*x3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x2^3*x3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x1, x2^2*x3^2*x2, x2^2 ]
[ x3^3, x1, x2^2*x3^2*x2, x3^2 ]
[ x3^3, x1*x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2 ]
[ x3^3, x1*x2^3, x1, x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x1, x3^2 ]
[ x1*x3^3, x2^3, x1, x2^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x3^2, x2^2 ]
[ x2^2*x3^2*x2, x1, x3^2, x2^2 ]
[ x3^3, x2^2*x3^2*x2, x3^2, x2^2 ]
[ x1*x2^3*x3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x3^2, x2^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x1, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x1, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x3^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x1, x1*x2^2*x3^2*x2, x2^2 ]
[ x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x2^4*x3^3, x1, x2^4, x3^2 ]
[ x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^4*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2*x3, x1, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2*x3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ]
[ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x2*x3^3, x1, x2^4, x3^2 ]
[ x1*x2*x3^3, x2^3, x2^4, x3^2 ]
[ x1*x2*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1, x2^3, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^4, x3^2 ]
[ x2*x3^3, x2^3, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1*x2*x3^3, x1, x2^3, x3^2 ]
[ x1*x2*x3^3, x1, x2^3, x2^4 ]
[ x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x3^2*x1*x3^4, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x2*x3^2*x1*x3^4, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x2, x3^2*x1*x3^4, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x2*x3^3, x3^2*x1*x3^4, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2*x3^2*x1*x3^4, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3*x1*x3 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x2^5*x3*x2*x3*x2*x3, x1, x2^2, x2*x3*x2*x3 ]
[ x1*x2^5*x3*x2*x3*x2*x3, x2^3*x3*x2*x3*x2, x2^2, x2*x3*x2*x3 ]
[ x1*x2^5*x3*x2*x3*x2*x3, x1*x2^3*x3*x2*x3*x2, x2^2, x2*x3*x2*x3 ]
[ x1, x2^3*x3*x2*x3*x2, x2^2, x2*x3*x2*x3 ]
[ x1*x2^2*x3, x1, x2^2, x2*x3*x2*x3 ]
[ x2^5*x3*x2*x3*x2*x3, x2^3*x3*x2*x3*x2, x2^2, x2*x3*x2*x3 ]
[ x1*x2^2*x3, x1*x2^3*x3*x2*x3*x2, x2^2, x2*x3*x2*x3 ]
[ x1*x2^5*x3*x2*x3*x2*x3, x1, x2^3*x3*x2*x3*x2, x2*x3*x2*x3 ]
[ x1*x2^5*x3*x2*x3*x2*x3, x1, x2^3*x3*x2*x3*x2, x2^2 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3^3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3^3*x1, x3*x1*x3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3^3*x1, x2*x3*x1*x3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x3*x1*x3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3^3*x1, x3*x1*x3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2*x3*x1*x3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3^3*x1, x2, x3*x1*x3, x1*x3^2*x1 ]
[ x1*x3^3*x1, x2, x3*x1*x3, x1*x3*x1*x3 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^3, x2^4, x3^2 ]
[ x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1, x2^3, x2^4, x3^2 ]
[ x2^3*x3^3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3, x2^4, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x3^3, x1, x2^3, x2^4 ]
[ x3^3, x1, x2^3, x3^2 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2*x1*x2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x2^3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^3*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x2^2*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2*x1*x3*x1*x3 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x3*x1*x3 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x2*x1*x2*x3*x1*x3 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x3*x1*x3 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x2*x3*x1*x2*x3*x1 ]
[ x3*x1*x3*x1*x3, x2, x1, x2*x3*x2*x3 ]
[ x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x3, x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x1, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x1, x2*x3^2*x2 ]
[ x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2^3*x3^2*x1, x2^2, x3^2 ]
[ x2^3, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2^3*x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2^3, x3^2*x1, x2^2 ]
[ x3^3, x2^3, x3^2*x1, x3^2 ]
[ x3^3, x2^3, x3^2*x1, x2^2*x1*x3^2*x1 ]
[ x3^3, x2^3, x3^2*x1, x2^2*x3^2 ]
[ x1*x2 ]
[ x1 ]
[ x2 ]
[ x1^2*x2 ]
gap> LogTo();