GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap> RequirePackage("carat");
true
gap> names := [];
[ ]
gap> GROUPS := [];
[ ]
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^1(6)^1(72)^1/min.359");
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 ] ] ], size := 12 )
gap> P1 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^1(6)^1(72)^1/words.min.359"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^1(6)^1(72)^1/min.360");
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 ] ] ], size := 12 )
gap> P2 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^1(6)^1(72)^1/words.min.360"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^2(24)^1/min.361");
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 ] ] ], size := 12 )
gap> P3 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^2(24)^1/words.min.361"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(2)^2(24)^1/min.362");
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 ] ] ], size := 12 )
gap> P4 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(2)^2(24)^1/words.min.362"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^2(24)^1/min.363");
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, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 12 )
gap> P5 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.363"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^3(3)^1(6)^2(24)^1/min.364");
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, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 12 )
gap> P6 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.364"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^3(6)^1(24)^1/group.1915");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 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 ] ] ]
, size := 192 )
gap> P7 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^3(6)^1(24)^1/words.group.1915"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(72)^1/group.1916");
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 ] ] ]
, size := 24 )
gap> P8 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(72)^1/words.group.1916"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1917");
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 ]
] ], size := 24 )
gap> P9 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1917"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1918");
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 ] ] ]
, size := 24 )
gap> P10 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1918"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1919");
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 ] ] ]
, size := 24 )
gap> P11 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1919"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1920");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P12 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1920"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(24)^1/group.1921");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P13 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(24)^1/words.group.1921"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(72)^1/group.1922");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P14 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1922"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(72)^1/group.1923");
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 ] ] ]
, size := 24 )
gap> P15 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1923"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(72)^1/group.1924");
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 ] ] ]
, size := 24 )
gap> P16 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1924"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1925");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P17 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1925"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1926");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P18 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1926"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1927");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P19 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1927"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1928");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P20 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1928"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1929");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P21 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1929"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1930");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P22 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1930"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(24)^1/group.1931");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P23 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(24)^1/words.group.1931"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1932");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P24 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1932"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1933");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P25 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1933"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1934");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P26 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1934"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1935");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P27 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1935"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^3(3)^1(6)^2(24)^1/group.1936");
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 ]
] ], size := 24 )
gap> P28 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1936"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1937");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P29 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1937"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1938");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P30 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1938"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1939");
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 ]
] ], size := 24 )
gap> P31 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1939"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1940");
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 ] ] ]
, size := 24 )
gap> P32 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1940"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1941");
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 ] ] ]
, size := 24 )
gap> P33 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1941"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1942");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P34 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1942"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(24)^1/group.1943");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P35 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1943"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1944");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -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 := 24 )
gap> P36 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1944"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1945");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P37 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1945"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1946");
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 ]
] ], size := 24 )
gap> P38 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1946"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1947");
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 ]
] ], size := 24 )
gap> P39 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1947"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1948");
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 ] ] ]
, size := 24 )
gap> P40 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1948"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1949");
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 ] ] ]
, size := 24 )
gap> P41 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1949"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^3(24)^1/group.1950");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P42 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1950"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1951");
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 ]
] ], size := 24 )
gap> P43 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1951"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1952");
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 ]
] ], size := 24 )
gap> P44 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1952"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1953");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 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 := 24 )
gap> P45 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1953"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1954");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P46 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1954"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1955");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 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 := 24 )
gap> P47 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1955"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1956");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P48 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1956"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1/group.1957");
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 ]
] ], size := 24 )
gap> P49 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1957"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(24)^1/group.1958");
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, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P50 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(24)^1/words.group.1958"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(72)^1/group.1959");
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, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P51 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(72)^1/words.group.1959"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1960");
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, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P52 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1960"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1961");
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, 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 ] ] ]
, size := 48 )
gap> P53 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1961"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1962");
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, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P54 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1962"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1963");
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, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P55 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1963"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1964");
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, 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 ] ]
], size := 48 )
gap> P56 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1964"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1965");
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, 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 ]
] ], size := 48 )
gap> P57 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1965"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1966");
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, 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 ] ] ]
, size := 48 )
gap> P58 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1966"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(24)^1/group.1967");
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, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P59 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(24)^1/words.group.1967"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^3(3)^1(6)^2(24)^1/group.1968");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P60 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^3(3)^1(6)^2(24)^1/words.group.1968"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1969");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P61 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1969"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1970");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P62 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1970"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1971");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P63 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1971"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1972");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P64 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1972"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1973");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P65 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1973"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1974");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P66 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1974"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1975");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P67 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1975"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(24)^1/group.1976");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P68 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1976"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1977");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P69 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1977"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1978");
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, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P70 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1978"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1979");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P71 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1979"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1980");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P72 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1980"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1981");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P73 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1981"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1982");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P74 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1982"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1983");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P75 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1983"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^3(24)^1/group.1984");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P76 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1984"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1985");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P77 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1985"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1986");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P78 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1986"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1987");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P79 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1987"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1988");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P80 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1988"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1989");
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, 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 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P81 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1989"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1990");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P82 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1990"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1991");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P83 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1991"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1992");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P84 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1992"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1993");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P85 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1993"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1994");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P86 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1994"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1995");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P87 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1995"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1996");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P88 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1996"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1997");
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, 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 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P89 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1997"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1998");
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, 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 ]
] ], size := 48 )
gap> P90 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1998"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.1999");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P91 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1999"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2000");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P92 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2000"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2001");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P93 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2001"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2002");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P94 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2002"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2003");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P95 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2003"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2004");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P96 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2004"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2005");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 48 )
gap> P97 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2005"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2006");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P98 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2006"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2007");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P99 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2007"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2008");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P100 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2008"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2009");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P101 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2009"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2010");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
], size := 48 )
gap> P102 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2010"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1/group.2011");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P103 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2011"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(24)^1/group.2012");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P104 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(24)^1/words.group.2012"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^1(6)^1(24)^1/group.2013");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P105 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^1(6)^1(24)^1/words.group.2013"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^1(6)^3(24)^1/group.2014");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P106 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^1(6)^3(24)^1/words.group.2014"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2015");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P107 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2015"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2016");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P108 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2016"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2017");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 96 )
gap> P109 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2017"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2018");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ]
] ], size := 96 )
gap> P110 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2018"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2019");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P111 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2019"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2020");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P112 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2020"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2021");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P113 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2021"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2022");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P114 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2022"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2023");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P115 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2023"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2024");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P116 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2024"]);
gap> Append(GROUPS,[P116]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2025");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P117 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2025"]);
gap> Append(GROUPS,[P117]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2026");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 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, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P118 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2026"]);
gap> Append(GROUPS,[P118]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1/group.2027");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P119 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2027"]);
gap> Append(GROUPS,[P119]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 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 ] ]
]),
Group([ [ [ 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 ] ] ]),
Group([ [ [ 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 ] ] ]),
Group([ [ [ 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 ] ] ]),
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, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 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 ] ],
[ [ 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 ] ]
]),
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, 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 ] ]
,
[ [ 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 ] ]
]),
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, 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, 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 ] ]
]),
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 ] ]
,
[ [ 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, 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 ]
] ]),
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, 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 ] ],
[ [ 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 ] ]
]),
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 ] ]
,
[ [ 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, 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 ]
] ]),
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 ] ],
[ [ 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, 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 ] ]
]),
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 ] ]
,
[ [ 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, 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 ]
] ]),
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -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, 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 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -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, 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 ]
] ]),
Group([ [ [ -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 ]
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"ordnung.12/(1)^2(2)^2(24)^1/words.min.361",
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"ordnung.12/(1)^3(3)^1(6)^2(24)^1/words.min.364",
"ordnung.192/(1)^4(2)^3(6)^1(24)^1/words.group.1915",
"ordnung.24/(1)^2(2)^1(6)^1(72)^1/words.group.1916",
"ordnung.24/(1)^2(2)^2(24)^1/words.group.1917",
"ordnung.24/(1)^2(2)^2(24)^1/words.group.1918",
"ordnung.24/(1)^2(2)^2(24)^1/words.group.1919",
"ordnung.24/(1)^2(2)^2(24)^1/words.group.1920",
"ordnung.24/(1)^2(2)^2(24)^1/words.group.1921",
"ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1922",
"ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1923",
"ordnung.24/(1)^2(2)^3(6)^1(72)^1/words.group.1924",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1925",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1926",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1927",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1928",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1929",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1930",
"ordnung.24/(1)^2(2)^4(24)^1/words.group.1931",
"ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1932",
"ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1933",
"ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1934",
"ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1935",
"ordnung.24/(1)^3(3)^1(6)^2(24)^1/words.group.1936",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1937",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1938",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1939",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1940",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1941",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1942",
"ordnung.24/(1)^4(2)^1(6)^1(24)^1/words.group.1943",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1944",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1945",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1946",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1947",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1948",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1949",
"ordnung.24/(1)^4(2)^1(6)^3(24)^1/words.group.1950",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1951",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1952",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1953",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1954",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1955",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1956",
"ordnung.24/(1)^4(2)^3(6)^1(24)^1/words.group.1957",
"ordnung.48/(1)^2(2)^2(24)^1/words.group.1958",
"ordnung.48/(1)^2(2)^3(6)^1(72)^1/words.group.1959",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1960",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1961",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1962",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1963",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1964",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1965",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1966",
"ordnung.48/(1)^2(2)^4(24)^1/words.group.1967",
"ordnung.48/(1)^3(3)^1(6)^2(24)^1/words.group.1968",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1969",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1970",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1971",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1972",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1973",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1974",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1975",
"ordnung.48/(1)^4(2)^1(6)^1(24)^1/words.group.1976",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1977",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1978",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1979",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1980",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1981",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1982",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1983",
"ordnung.48/(1)^4(2)^1(6)^3(24)^1/words.group.1984",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1985",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1986",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1987",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1988",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1989",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1990",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1991",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1992",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1993",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1994",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1995",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1996",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1997",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1998",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.1999",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2000",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2001",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2002",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2003",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2004",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2005",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2006",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2007",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2008",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2009",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2010",
"ordnung.48/(1)^4(2)^3(6)^1(24)^1/words.group.2011",
"ordnung.96/(1)^2(2)^4(24)^1/words.group.2012",
"ordnung.96/(1)^4(2)^1(6)^1(24)^1/words.group.2013",
"ordnung.96/(1)^4(2)^1(6)^3(24)^1/words.group.2014",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2015",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2016",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2017",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2018",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2019",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2020",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2021",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2022",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2023",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2024",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2025",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2026",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1/words.group.2027" ]
gap> Size(GROUPS);
119
gap> Size(names);
119
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x1^6, x1^9 ]
[ x1^8, x1^6 ]
[ x1^6, x1^3 ]
[ x1^8, x1^6 ]
[ x1^6, x1^3 ]
[ x1^8, x1^6 ]
[ x1^6, x1^9 ]
[ x1^8, x1^6 ]
[ x1^2, x1^3*x2*x1 ]
[ x1, x1^2 ]
[ x1^2, x1^3*x2*x1 ]
[ x2*x1, x1^2 ]
[ x5^3, x1, x2*x5^2, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x2*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x2*x5^2, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x4, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x2*x3*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x4, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x2*x4*x5^2, x2*x5^2, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x3, x2*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x2*x4*x5^2, x2*x5^2, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x2*x4*x5^2, x4, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x3, x2*x3*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x2*x4*x5^2, x4, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1, x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1, x2*x5^2, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1, x2*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1, x2*x5^2, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x2, x1, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1, x4, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1, x2*x3*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1, x4, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1*x5^3, x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1*x2*x4*x5^2, x2*x5^2, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x3, x2*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1*x2*x4*x5^2, x2*x5^2, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x2, x1*x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1*x2*x4*x5^2, x4, x3, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x3, x2*x3*x5^2, x2*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x4*x5*x2, x1*x2*x4*x5^2, x4, x2*x3*x4*x5^2, x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x2*x5^2, x3, x2*x4*x5^2, x2*x3*x5*x2*x3*x5 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^9, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^9, x2^4, x2^6 ]
[ x2^9, x1, x2^6 ]
[ x2^9, x2^8, x2^6 ]
[ x1, x2^8, x2^6 ]
[ x1*x2^9, x2^8, x2^6 ]
[ x2^9, x1, x2^6 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^4, x1*x2*x1*x2^5 ]
[ x1, x2^4, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^4, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^4, x1*x2*x1*x2^5 ]
[ x1, x2^4, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^4, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2^3, x1^2, x2^2 ]
[ x1*x2^2, x1^2, x2^2 ]
[ x2*x1, x1^2, x2^2 ]
[ x2^3, x1*x2^2, x1^2 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2^3, x1^2, x2^2 ]
[ x2^2*x1, x1^2, x2^2 ]
[ x1*x2, x1^2, x2^2 ]
[ x2^3, x2^2*x1, x1^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1*x2^3, x1, x1^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1*x2^3, x1, x1^2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x1*x2^2, x1*x2*x1*x2, x2^2 ]
[ x2*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1*x2^2, x1*x2*x1*x2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1, x1^2 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3, x1, x2^6 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^2*x1, x1*x2*x1*x2, x2^2 ]
[ x2*x1*x2^2, x1*x2*x1*x2, x2^2 ]
[ x2^3, x2^2*x1, x1*x2*x1*x2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1, x1*x2*x1*x2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1, x1*x2*x1*x2 ]
[ x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3, x1, x2^6 ]
[ x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3, x1, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x3^3, x2, x3^2, x1^2 ]
[ x3^3, x1, x3^2, x1^2 ]
[ x3^3, x1*x2, x3^2, x1^2 ]
[ x2, x1, x3^2, x1^2 ]
[ x1*x3^3, x2, x3^2, x1^2 ]
[ x2*x3^3, x1, x3^2, x1^2 ]
[ x1*x3^3, x1*x2, x3^2, x1^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x1, x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x1*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1*x2, x1, x1^2 ]
[ x3^3, x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2, x1^2, x3^2 ]
[ x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x1*x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x1*x2*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x2, x1, x2^2 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3*x1, x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x3^4*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x2*x3*x1, x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x3*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x2*x3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x3^4*x1, x2*x3^4*x1, x3^6 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x1*x3^2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x2*x3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x2*x3, x1*x2*x1*x3^2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1^3*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x1^3*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1^3*x2, x1, x1^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x2*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x2*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2*x3^2*x1, x2^2, x3^2 ]
[ x2, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2, x2^2, x3^2 ]
[ x2*x3^3, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2*x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2, x3^2*x1, x2^2 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x3^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3*x2, x3^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3, x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3*x2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2*x1, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x2*x1, x1, x2^2, x3^2 ]
[ x1*x3^3, x2*x1, x2^2, x3^2 ]
[ x2*x1*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x3^3, x2*x1, x1, x2^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x1*x3^3*x1, x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x3^4*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x2*x3*x1, x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x3*x1, x2*x3^4*x1, x3^6, x1*x3^4*x1 ]
[ x2*x3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x3^4*x1, x2*x3^4*x1, x3^6 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x4^3, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1*x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x3, x2*x4*x2*x4^5 ]
[ x4^3, x2*x3, x2, x1^2, x4^2 ]
[ x4^3, x2*x3, x1, x1^2, x4^2 ]
[ x4^3, x2*x3, x1*x2, x1^2, x4^2 ]
[ x4^3, x2, x1, x1^2, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1^2, x4^2 ]
[ x4^3, x3, x1, x1^2, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x1^2, x4^2 ]
[ x2*x3, x2, x1, x1^2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1^2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x1^2, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x1^2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x1^2, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x1^2, x4^2 ]
[ x2*x4^3, x3, x1, x1^2, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x1^2, x4^2 ]
[ x4^3, x2*x3, x2, x1, x1^2 ]
[ x4^3, x1*x4^2, x1*x2*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2, x1*x2*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x4^2, x1*x2*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x1, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x4^2, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1, x1*x2*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2, x1*x2*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x1, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x4^2, x3, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4*x3, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1, x2*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1, x2*x3, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4*x3*x4*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x4^2*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x2*x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x2*x4*x3*x4*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x3*x1, x1, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x1*x4*x2, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x1*x4*x2, x3*x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x4^3, x1, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x1*x4*x2, x2*x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x1*x4*x2, x2*x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1, x1*x2*x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1, x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2, x1, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1*x4^2, x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2, x1*x2*x3*x4^2, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2, x1*x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2, x1*x2*x3*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2*x4^2, x2*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4*x1*x4^2, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4 ]
[ x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x2^2, x4^2 ]
[ x4^3, x2, x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x4^3, x3, x2*x1, x2^2, x4^2 ]
[ x1*x3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x2^2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x2, x1, x2^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x2, x3, x2*x3*x4*x2*x3*x4 ]
gap> LogTo();