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(4)^1(12)^3/min.345");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P1 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(4)^1(12)^3/words.min.345"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(4)^1(12)^3/min.346");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 12 )
gap> P2 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^2(4)^1(12)^3/words.min.346"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(12)^2(36)^2/min.347");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P3 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(12)^2(36)^2/words.min.347"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(12)^2(36)^2/min.348");
rec(
generators := [ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P4 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(12)^2(36)^2/words.min.348"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^2(12)^2/group.1806");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 := 192 )
gap> P5 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^2(12)^2/words.group.1806"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.1807");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P6 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.1807"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.1808");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P7 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.1808"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.1809");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P8 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.1809"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.1810");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P9 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.1810"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.1811");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P10 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.1811"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.1812");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P11 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.1812"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.1813");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P12 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.1813"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.1814");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P13 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.1814"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^1(12)^3/group.1815");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P14 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^1(12)^3/words.group.1815"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.1816");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P15 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.1816"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.1817");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P16 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.1817"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.1818");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P17 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.1818"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(12)^2(36)^2/group.1819");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P18 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(12)^2(36)^2/words.group.1819"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1820");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P19 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1820"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1821");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P20 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1821"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1822");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P21 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1822"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1823");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P22 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1823"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1824");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P23 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1824"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1825");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P24 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1825"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1826");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P25 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1826"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1827");
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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P26 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1827"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1828");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P27 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1828"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1829");
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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P28 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1829"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.1830");
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, 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> P29 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.1830"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.1831");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P30 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.1831"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.1832");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P31 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.1832"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.1833");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P32 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.1833"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.1834");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P33 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.1834"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.1835");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P34 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.1835"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.1836");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P35 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.1836"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.1837");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P36 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.1837"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/group.1838");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P37 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.group.1838"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/group.1839");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P38 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.group.1839"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/group.1840");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P39 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.group.1840"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.1841");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P40 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.1841"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.1842");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P41 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.1842"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.1843");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P42 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.1843"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.1844");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P43 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.1844"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^1(6)^1(12)^2/group.1845");
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 ] ]
,
[ [ -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> P44 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^1(6)^1(12)^2/words.group.1845"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1846");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P45 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1846"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1847");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P46 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1847"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1848");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P47 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1848"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1849");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P48 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1849"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1850");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P49 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1850"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.1851");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P50 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.1851"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^3(12)^1/group.1852");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P51 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^3(12)^1/words.group.1852"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1853");
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 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P52 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1853"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1854");
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 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1854"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1855");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P54 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1855"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1856");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P55 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1856"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1857");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P56 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1857"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1858");
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, 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> P57 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1858"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1859");
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, 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> P58 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1859"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1860");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P59 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1860"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1861");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P60 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1861"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1862");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P61 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1862"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1863");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P62 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1863"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1864");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1864"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1865");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P64 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1865"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1866");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P65 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1866"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1867");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P66 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1867"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1868");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P67 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1868"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1869");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P68 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1869"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1870");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P69 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1870"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1871");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P70 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1871"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1872");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P71 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1872"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1873");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P72 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1873"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1874");
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, 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> P73 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1874"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1875");
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, 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> P74 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1875"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1876");
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, 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> P75 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1876"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1877");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P76 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1877"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1878");
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, -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 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1878"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1879");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P78 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1879"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1880");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P79 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1880"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1881");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P80 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1881"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.1882");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P81 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.1882"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^1(12)^2(36)^1/group.1883");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P82 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^1(12)^2(36)^1/words.group.1883"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.1884");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P83 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.1884"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.1885");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P84 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.1885"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.1886");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P85 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.1886"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.1887");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P86 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.1887"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.1888");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P87 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.1888"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(6)^2(36)^2/group.1889");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P88 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(1)^4(6)^2(36)^2/words.group.1889"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^2(4)^1(12)^1/group.1890");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P89 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^2(4)^1(12)^1/words.group.1890"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/group.1891");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -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> P90 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1891"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1892");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 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> P91 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1892"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1893");
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 ] ]
,
[ [ -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> P92 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1893"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1894");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P93 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1894"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1895");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -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> P94 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1895"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1896");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -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> P95 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1896"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1897");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -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> P96 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1897"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1898");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 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> P97 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1898"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1899");
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 ] ],
[ [ -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> P98 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1899"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1900");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -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> P99 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1900"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.1901");
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 ] ],
[ [ -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> P100 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.1901"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^2(12)^2/group.1902");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P101 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^2(12)^2/words.group.1902"]);
gap> Append(GROUPS,[P101]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0
], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ]
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gap> Print(names,"\n");
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"ordnung.48/(1)^4(2)^2(12)^2/words.group.1872",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1873",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1874",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1875",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1876",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1877",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1878",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1879",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1880",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1881",
"ordnung.48/(1)^4(2)^2(12)^2/words.group.1882",
"ordnung.48/(1)^4(4)^1(12)^2(36)^1/words.group.1883",
"ordnung.48/(1)^4(4)^2(12)^2/words.group.1884",
"ordnung.48/(1)^4(4)^2(12)^2/words.group.1885",
"ordnung.48/(1)^4(4)^2(12)^2/words.group.1886",
"ordnung.48/(1)^4(4)^2(12)^2/words.group.1887",
"ordnung.48/(1)^4(4)^2(12)^2/words.group.1888",
"ordnung.48/(1)^4(6)^2(36)^2/words.group.1889",
"ordnung.96/(1)^2(2)^2(4)^1(12)^1/words.group.1890",
"ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.1891",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1892",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1893",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1894",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1895",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1896",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1897",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1898",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1899",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1900",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.1901",
"ordnung.96/(1)^4(4)^2(12)^2/words.group.1902" ]
gap> Size(GROUPS);
101
gap> Size(names);
101
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x6^3, x5, x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x5, x3*x4, x3, x1, x6^2 ]
[ x6^3, x5, x3*x4, x3, x6^2*x2, x6^2 ]
[ x6^3, x5, x3*x4, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x5, x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x5, x3*x4, x1*x3*x6^2*x2, x1, x6^2 ]
[ x6^3, x5, x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x6^3, x5, x3, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x5, x1*x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x5, x1*x3*x4*x6^2*x2, x3, x1, x6^2 ]
[ x6^3, x5, x1*x3*x4, x3, x6^2*x2, x6^2 ]
[ x6^3, x5, x4, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x5, x1*x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x5, x1*x3*x4*x6^2*x2, x1*x3*x6^2*x2, x1, x6^2 ]
[ x6^3, x5, x1*x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x6^3, x3*x4, x3, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x1*x5*x6^2*x2, x3*x4, x3, x1, x6^2 ]
[ x6^3, x1*x5, x3*x4, x3, x6^2*x2, x6^2 ]
[ x6^3, x3*x5, x3*x4, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x1*x5*x6^2*x2, x3*x4, x1*x3*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x6^3, x3*x4*x5, x3, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x1*x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x1*x5*x6^2*x2, x1*x3*x4*x6^2*x2, x3, x1, x6^2 ]
[ x6^3, x1*x5, x1*x3*x4, x3, x6^2*x2, x6^2 ]
[ x6^3, x3*x5, x4, x1*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x1*x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x6^3, x1*x5*x6^2*x2, x1*x3*x4*x6^2*x2, x1*x3*x6^2*x2, x1, x6^2 ]
[ x6^3, x1*x5, x1*x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x5, x3*x4, x3, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x5, x3*x4, x3, x1, x6^2 ]
[ x1*x6^3, x5, x3*x4, x3, x6^2*x2, x6^2 ]
[ x3*x6^3, x5, x3*x4, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x5, x3*x4, x1*x3*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x3*x4*x6^3, x5, x3, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x1*x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x5, x1*x3*x4*x6^2*x2, x3, x1, x6^2 ]
[ x1*x6^3, x5, x1*x3*x4, x3, x6^2*x2, x6^2 ]
[ x3*x6^3, x5, x4, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x1*x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x5, x1*x3*x4*x6^2*x2, x1*x3*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x5, x1*x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x5*x6^3, x3*x4, x3, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x1*x5*x6^2*x2, x3*x4, x3, x1, x6^2 ]
[ x1*x6^3, x1*x5, x3*x4, x3, x6^2*x2, x6^2 ]
[ x3*x6^3, x3*x5, x3*x4, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x1*x5*x6^2*x2, x3*x4, x1*x3*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x3*x4*x6^3, x3*x4*x5, x3, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x1*x3*x4, x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x1*x5*x6^2*x2, x1*x3*x4*x6^2*x2, x3, x1, x6^2 ]
[ x1*x6^3, x1*x5, x1*x3*x4, x3, x6^2*x2, x6^2 ]
[ x3*x6^3, x3*x5, x4, x1*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x1*x3*x4, x1*x3, x1*x6^2*x2, x6^2 ]
[ x1*x2*x6, x1*x5*x6^2*x2, x1*x3*x4*x6^2*x2, x1*x3*x6^2*x2, x1, x6^2 ]
[ x1*x6^3, x1*x5, x1*x3*x4, x1*x3, x6^2*x2, x6^2 ]
[ x6^3, x5, x3*x4, x3, x1*x6^2*x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x2, x3^4 ]
[ x1*x2, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x1*x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x1*x3*x1, x2, x1*x3*x1*x3 ]
[ x1*x3*x1, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x3*x1, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x3*x1, x2, x3*x1*x3 ]
[ x3^3, x1*x3^2*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x3^2*x2, x3^2 ]
[ x1*x3^2*x2, x1, x3^2 ]
[ x1*x3^3, x1*x3^2*x2, x3^2 ]
[ x1*x2*x3, x1, x3^2 ]
[ x1*x3^3, x3^2*x2, x3^2 ]
[ x3^3, x1*x3^2*x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x1, x1*x2*x1*x2 ]
[ x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ]
[ x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2*x1*x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3, x2^3, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x1*x3, x2^3, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x3, x2^3, x1 ]
[ x3, x2^3, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x1*x2^3, x2^2 ]
[ x2^3, x1, x2^2 ]
[ x1*x3, x2^3, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x3, x1*x2^3, x2^2 ]
[ x3, x2^3, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x1*x2, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x1*x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x3, x1*x2, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x1*x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x3*x4^3, x1*x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x2*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x2*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x3, x2, x1 ]
[ x1*x4*x1, x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x4*x1*x4 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1*x4^2, x4^2 ]
[ x4^3, x3, x1*x2*x4^2, x4^2 ]
[ x4^3, x2, x1*x4^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x4^2 ]
[ x4^3, x2*x3, x1*x4^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x4^2, x4^2 ]
[ x3, x2, x1*x4^2, x4^2 ]
[ x4*x1, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1*x4^2, x4^2 ]
[ x4*x1, x3, x1*x2*x4^2, x4^2 ]
[ x3*x4^3, x2, x1*x4^2, x4^2 ]
[ x4*x1, x1*x3*x4^2, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1*x4^2, x4^2 ]
[ x4*x1, x1*x3*x4^2, x1*x2*x4^2, x4^2 ]
[ x4^3, x3, x2, x1*x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4 ]
[ x3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1*x4^2, x4^2 ]
[ x4^3, x3, x1*x2*x4^2, x4^2 ]
[ x4^3, x2, x1*x4^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x4^2 ]
[ x4^3, x2*x3, x1*x4^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x4^2, x4^2 ]
[ x3, x2, x1*x4^2, x4^2 ]
[ x4*x1, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1*x4^2, x4^2 ]
[ x4*x1, x3, x1*x2*x4^2, x4^2 ]
[ x3*x4^3, x2, x1*x4^2, x4^2 ]
[ x4*x1, x1*x3*x4^2, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1*x4^2, x4^2 ]
[ x4*x1, x1*x3*x4^2, x1*x2*x4^2, x4^2 ]
[ x4^3, x3, x2, x1*x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x3*x4^3, x1*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x3, x1*x2, x1 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1 ]
[ x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x4^2*x2, x4^2 ]
[ x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x3, x1, x4^2 ]
[ x1*x4^3, x3, x4^2*x2, x4^2 ]
[ x3*x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x1*x3*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1 ]
[ x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x4^2*x2, x4^2 ]
[ x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x3, x1, x4^2 ]
[ x1*x4^3, x3, x4^2*x2, x4^2 ]
[ x3*x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x1*x3*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1 ]
[ x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x4^2*x2, x4^2 ]
[ x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x1, x4^2 ]
[ x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x3, x1, x4^2 ]
[ x1*x4^3, x3, x4^2*x2, x4^2 ]
[ x3*x4^3, x1*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x4^2*x2, x4^2 ]
[ x1*x2*x4, x1*x3*x4^2*x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x4^2*x2, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1 ]
[ x1*x2*x4^3, x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x1*x2*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x2, x1, x4^2 ]
[ x1*x2*x4^3, x1*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x2*x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x2*x4^3, x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x2*x4^3, x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x2*x4^3, x1*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x2*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x4^3, x3, x2, x1 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x3, x2, x1 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x4^3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1 ]
[ x3*x4*x3, x4*x3*x4, x1, x3*x4*x3*x4 ]
[ x3*x4*x3, x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x4*x3*x4, x1*x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x2*x4*x3*x4, x1, x3*x4*x3*x4 ]
[ x3*x4*x3, x1*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x2*x4*x3*x4, x1*x2, x3*x4*x3*x4 ]
[ x4*x3*x4, x1, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x4*x3*x4, x1, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x4*x3*x4, x1*x2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4*x3*x4, x1, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x2*x4*x3*x4, x1, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x2*x4*x3*x4, x1*x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x4*x3*x4, x1, x2 ]
[ x4, x3^3, x2, x3^2 ]
[ x4, x3^3, x1, x3^2 ]
[ x4, x3^3, x1*x2, x3^2 ]
[ x4, x2, x1, x3^2 ]
[ x4, x1*x3^3, x2, x3^2 ]
[ x4, x2*x3^3, x1, x3^2 ]
[ x4, x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1, x3^2 ]
[ x1*x4, x3^3, x2, x3^2 ]
[ x2*x4, x3^3, x1, x3^2 ]
[ x1*x4, x3^3, x1*x2, x3^2 ]
[ x3^3*x4, x2, x1, x3^2 ]
[ x1*x4, x1*x3^3, x2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x3^2 ]
[ x1*x4, x1*x3^3, x1*x2, x3^2 ]
[ x4, x3^3, x2, x1 ]
[ x5^3, x4, x2*x3, x2, x5^4 ]
[ x5^3, x4, x2*x3, x1, x5^4 ]
[ x5^3, x4, x2*x3, x1*x2, x5^4 ]
[ x5^3, x4, x2, x1, x5^4 ]
[ x5^3, x4, x1*x2*x3, x2, x5^4 ]
[ x5^3, x4, x3, x1, x5^4 ]
[ x5^3, x4, x1*x2*x3, x1*x2, x5^4 ]
[ x5^3, x2*x3, x2, x1, x5^4 ]
[ x5^3, x1*x4, x2*x3, x2, x5^4 ]
[ x5^3, x2*x4, x2*x3, x1, x5^4 ]
[ x5^3, x1*x4, x2*x3, x1*x2, x5^4 ]
[ x5^3, x2*x3*x4, x2, x1, x5^4 ]
[ x5^3, x1*x4, x1*x2*x3, x2, x5^4 ]
[ x5^3, x2*x4, x3, x1, x5^4 ]
[ x5^3, x1*x4, x1*x2*x3, x1*x2, x5^4 ]
[ x4, x2*x3, x2, x1, x5^4 ]
[ x1*x5^3, x4, x2*x3, x2, x5^4 ]
[ x2*x5^3, x4, x2*x3, x1, x5^4 ]
[ x1*x5^3, x4, x2*x3, x1*x2, x5^4 ]
[ x2*x3*x5^3, x4, x2, x1, x5^4 ]
[ x1*x5^3, x4, x1*x2*x3, x2, x5^4 ]
[ x2*x5^3, x4, x3, x1, x5^4 ]
[ x1*x5^3, x4, x1*x2*x3, x1*x2, x5^4 ]
[ x4*x5^3, x2*x3, x2, x1, x5^4 ]
[ x1*x5^3, x1*x4, x2*x3, x2, x5^4 ]
[ x2*x5^3, x2*x4, x2*x3, x1, x5^4 ]
[ x1*x5^3, x1*x4, x2*x3, x1*x2, x5^4 ]
[ x2*x3*x5^3, x2*x3*x4, x2, x1, x5^4 ]
[ x1*x5^3, x1*x4, x1*x2*x3, x2, x5^4 ]
[ x2*x5^3, x2*x4, x3, x1, x5^4 ]
[ x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x5^4 ]
[ x5^3, x4, x2*x3, x2, x1 ]
[ x5^3, x4, x3, x1*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x2, x5^2 ]
[ x5^3, x4, x1*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x3, x2, x5^2 ]
[ x5^3, x3, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x2, x5^2 ]
[ x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x4, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x2, x5^2 ]
[ x3*x5^3, x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x5^2 ]
[ x4*x5^3, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x3, x1*x2, x1 ]
[ x1*x5^3, x2*x4, x3, x2, x5^2 ]
[ x1*x5^3, x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x4, x2, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x1*x5^3, x2*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x5^3, x3, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x1*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x1*x5^3, x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x2*x4, x3, x2, x1, x5^2 ]
[ x5^3, x2*x4, x3, x2, x5^2 ]
[ x1*x2*x5^3, x2*x4, x3, x1, x5^2 ]
[ x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x1*x3*x5^3, x2*x4, x2, x1, x5^2 ]
[ x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x1*x2*x5^3, x2*x4, x2*x3, x1, x5^2 ]
[ x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x4*x5^3, x3, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x1*x2*x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x1*x3*x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x1*x2*x5^3, x4, x2*x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x4, x3, x2, x1 ]
[ x5^3, x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x5^2*x2, x5^2 ]
[ x4, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x5^2*x2, x5^2 ]
[ x4*x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x4*x5^2*x2, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x4, x3, x1*x5^2*x2, x1 ]
[ x5^3, x4, x2*x5^2*x3, x1, x5^2 ]
[ x5^3, x4, x2*x5^2*x3, x2, x5^2 ]
[ x5^3, x4, x2*x5^2*x3, x1*x2, x5^2 ]
[ x5^3, x4, x1, x2, x5^2 ]
[ x5^3, x4, x5^2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x2*x5^2*x3, x2, x5^2 ]
[ x5^3, x4, x5^2*x3, x1*x2, x5^2 ]
[ x5^3, x2*x5^2*x3, x1, x2, x5^2 ]
[ x5^3, x2*x4, x2*x5^2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x2*x5^2*x3, x2, x5^2 ]
[ x5^3, x2*x4, x2*x5^2*x3, x1*x2, x5^2 ]
[ x5^3, x2*x4*x5^2*x3, x1, x2, x5^2 ]
[ x5^3, x2*x4, x5^2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x2*x5^2*x3, x2, x5^2 ]
[ x5^3, x2*x4, x5^2*x3, x1*x2, x5^2 ]
[ x4, x2*x5^2*x3, x1, x2, x5^2 ]
[ x2*x5^3, x4, x2*x5^2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x2*x5^2*x3, x2, x5^2 ]
[ x2*x5^3, x4, x2*x5^2*x3, x1*x2, x5^2 ]
[ x2*x3*x5, x4, x1, x2, x5^2 ]
[ x2*x5^3, x4, x5^2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x2*x5^2*x3, x2, x5^2 ]
[ x2*x5^3, x4, x5^2*x3, x1*x2, x5^2 ]
[ x4*x5^3, x2*x5^2*x3, x1, x2, x5^2 ]
[ x2*x5^3, x2*x4, x2*x5^2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x2*x5^2*x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x2*x5^2*x3, x1*x2, x5^2 ]
[ x2*x3*x5, x2*x4*x5^2*x3, x1, x2, x5^2 ]
[ x2*x5^3, x2*x4, x5^2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x2*x5^2*x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x5^2*x3, x1*x2, x5^2 ]
[ x5^3, x4, x2*x5^2*x3, x1, x2 ]
[ x5^3, x4, x3, x1*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x2, x5^2 ]
[ x5^3, x4, x1*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x3, x2, x5^2 ]
[ x5^3, x3, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x2, x5^2 ]
[ x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x4, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x2, x5^2 ]
[ x3*x5^3, x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x5^2 ]
[ x4*x5^3, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x3, x1*x2, x1 ]
[ x5^3, x4, x3, x1*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x2, x5^2 ]
[ x5^3, x4, x1*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x3, x2, x5^2 ]
[ x5^3, x3, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x2, x5^2 ]
[ x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x4, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x2, x5^2 ]
[ x3*x5^3, x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x5^2 ]
[ x4*x5^3, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x3, x1*x2, x1 ]
[ x5^3, x4, x3, x1*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x2, x5^2 ]
[ x5^3, x4, x1*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x3, x2, x5^2 ]
[ x5^3, x3, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x2, x5^2 ]
[ x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x4, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x2, x5^2 ]
[ x3*x5^3, x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x5^2 ]
[ x4*x5^3, x3, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x2*x5^3, x1*x2*x4, x1*x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x3, x1*x2, x1 ]
[ x1*x5^3, x2*x3*x4, x2*x3, x2, x5^2 ]
[ x1*x5^3, x2*x3*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x2*x3*x4, x2*x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x1*x5^3, x2*x3*x4, x1*x2*x3, x2, x5^2 ]
[ x1*x5^3, x2*x3*x4, x3, x1, x5^2 ]
[ x1*x5^3, x2*x3*x4, x1*x2*x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x3, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x3*x4, x2*x3, x2, x5^2 ]
[ x1*x5^3, x3*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x3*x4, x2*x3, x1*x2, x5^2 ]
[ x1*x5^3, x4, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x3*x4, x1*x2*x3, x2, x5^2 ]
[ x1*x5^3, x3*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x3*x4, x1*x2*x3, x1*x2, x5^2 ]
[ x2*x3*x4, x2*x3, x2, x1, x5^2 ]
[ x5^3, x2*x3*x4, x2*x3, x2, x5^2 ]
[ x1*x2*x5^3, x2*x3*x4, x2*x3, x1, x5^2 ]
[ x5^3, x2*x3*x4, x2*x3, x1*x2, x5^2 ]
[ x1*x2*x3*x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x5^3, x2*x3*x4, x1*x2*x3, x2, x5^2 ]
[ x1*x2*x5^3, x2*x3*x4, x3, x1, x5^2 ]
[ x5^3, x2*x3*x4, x1*x2*x3, x1*x2, x5^2 ]
[ x1*x2*x3*x4*x5^3, x2*x3, x2, x1, x5^2 ]
[ x5^3, x1*x2*x3*x4, x2*x3, x2, x5^2 ]
[ x1*x2*x5^3, x3*x4, x2*x3, x1, x5^2 ]
[ x5^3, x1*x2*x3*x4, x2*x3, x1*x2, x5^2 ]
[ x1*x2*x3*x5^3, x4, x2, x1, x5^2 ]
[ x5^3, x1*x2*x3*x4, x1*x2*x3, x2, x5^2 ]
[ x1*x2*x5^3, x3*x4, x3, x1, x5^2 ]
[ x5^3, x1*x2*x3*x4, x1*x2*x3, x1*x2, x5^2 ]
[ x1*x5^3, x2*x3*x4, x2*x3, x2, x1 ]
[ x5^3, x3*x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x3, x1, x5^2 ]
[ x5^3, x3*x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x3*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x3*x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x3*x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x3, x1, x5^2 ]
[ x5^3, x1*x3*x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x3*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x3*x4, x1*x3, x5^2*x2, x5^2 ]
[ x3*x4, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x3*x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x3*x4, x3, x1, x5^2 ]
[ x1*x5^3, x3*x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x3*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x3*x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x3*x4, x1*x3, x5^2*x2, x5^2 ]
[ x3*x4*x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x3*x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x3*x4*x5^2*x2, x3, x1, x5^2 ]
[ x1*x5^3, x1*x3*x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x3*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x3*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x3*x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x3, x1*x5^2*x2, x1 ]
[ x5^3, x2*x4, x3, x2, x5^2 ]
[ x5^3, x2*x4, x3, x1, x5^2 ]
[ x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x5^3, x2*x4, x2, x1, x5^2 ]
[ x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x5^3, x2*x4, x2*x3, x1, x5^2 ]
[ x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x3, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x5^3, x4, x2*x3, x1, x5^2 ]
[ x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x2*x4, x3, x2, x1, x5^2 ]
[ x1*x5^3, x2*x4, x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x3, x1*x2, x5^2 ]
[ x3*x5^3, x2*x4, x2, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x2*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x2*x4, x1*x3, x1*x2, x5^2 ]
[ x2*x4*x5^3, x3, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x2, x5^2 ]
[ x2*x5^3, x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x1*x2, x5^2 ]
[ x3*x5^3, x2*x3*x4, x2, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x2*x4, x3, x2, x1 ]
[ x5^3, x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x5^2*x2, x5^2 ]
[ x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x5^2*x2, x5^2 ]
[ x4, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x4, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x5^2*x2, x5^2 ]
[ x4*x5^3, x3, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x4*x5^2*x2, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x5^2*x2, x5^2 ]
[ x3*x5^3, x3*x4, x1*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x5^2*x2, x5^2 ]
[ x1*x2*x5, x1*x4*x5^2*x2, x1*x3*x5^2*x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x5^2*x2, x5^2 ]
[ x5^3, x4, x3, x1*x5^2*x2, x1 ]
[ x5^3, x1*x4, x3, x2, x5^2 ]
[ x5^3, x1*x4, x3, x1, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x4, x2, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x5^3, x1*x4, x2*x3, x1, x5^2 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x3, x2, x1, x5^2 ]
[ x5^3, x4, x3, x2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x5^3, x4, x3, x1*x2, x5^2 ]
[ x5^3, x1*x3*x4, x2, x1, x5^2 ]
[ x5^3, x4, x1*x3, x2, x5^2 ]
[ x5^3, x1*x2*x4, x2*x3, x1, x5^2 ]
[ x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x1*x4, x3, x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x5^2 ]
[ x2*x5^3, x1*x4, x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x5^2 ]
[ x3*x5^3, x1*x4, x2, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x1*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x5^2 ]
[ x1*x4*x5^3, x3, x2, x1, x5^2 ]
[ x1*x5^3, x4, x3, x2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3, x1, x5^2 ]
[ x1*x5^3, x4, x3, x1*x2, x5^2 ]
[ x3*x5^3, x1*x3*x4, x2, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x2*x3, x1, x5^2 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x5^2 ]
[ x5^3, x1*x4, x3, x2, x1 ]
gap> LogTo();