degree:12
 order:64
[ 12, 12, 1, 2, 12, 24 ][ 8, 0, 0, 3, 0, 12, 0, 3, 0, 0, 0, 0, 0, 1, 3 ]
minimal polynomial:
[ x-12, x, x+4, x^2-8*x-12, x^2+8*x-12 ]1
[ x-12, x, x+4, x^2-8*x-12 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-12, x, x+4 ]
[ x-24, x, x+8, x^2+16*x-48 ]

 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, 8, 0, 0, 3, 0 ], [ 0, 8, 0, 1, 0, 3, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 1, 3, 8 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 8, 0, 1, 0, 3, 0 ], [ 1, 0, 8, 0, 0, 3, 0 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 1, 3, 8 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 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, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 1, 1, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 1, 0, 0, 1, 2, 8, 0 ], [ 0, 3, 3, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 0, 0, 0, 2, 6, 16 ], [ 0, 0, 0, 0, 2, 6, 16 ], [ 0, 0, 0, 0, 0, 0, 24 ],
      [ 0, 12, 12, 0, 0, 0, 0 ], [ 0, 6, 6, 0, 0, 0, 12 ], [ 1, 8, 8, 1, 0, 6, 0 ] ] ]