degree:12
 order:56
[ 12, 12, 3, 4, 12, 12 ][ 6, 12, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 6 ]
minimal polynomial:
[ x-12, x, x+12, x^2-4*x-24, x^2+4*x-24 ]1
[ x-12, x, x^2+4*x-24 ]
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-12, x, x^2+4*x-24 ]
[ x-12, x, x+12, x^2-4*x-24, x^2+4*x-24 ]

 SITA:

[ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 6, 3, 0, 2, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 2, 0, 0, 4, 0, 6 ], [ 0, 0, 6, 0, 0, 6, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 1, 0, 2, 3, 0, 6, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 6, 0, 0, 4, 0, 2 ] ],
  [ [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ], [ 1, 0, 0, 2, 0, 0, 0 ],
      [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 4, 0, 0 ],
      [ 1, 0, 0, 3, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 2, 0, 0, 4, 0, 6 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 6, 3, 0, 2, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 6, 0, 0, 4, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 1, 0, 2, 3, 0, 6, 0 ] ] ]