degree:12
 order:64
[ 12, 18, 1, 8, 12, 12 ][ 4, 0, 0, 0, 5, 0, 9, 6, 0, 0, 1, 0, 0, 2, 5 ]
minimal polynomial:
[ x-12, x, x+12, x^2-12, x^2-8 ]1
[ x-18, x-2, x, x+6 ]
[ x-1, x+1 ]
[ x-8, x, x+8, x^2-32 ]
[ x-12, x, x+12, x^2-12, x^2-8 ]
[ x-12, x-4, x, x+4 ]

 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, 0, 0, 0, 5 ], [ 0, 4, 0, 0, 4, 4, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 9, 0, 0, 0, 3 ], [ 0, 0, 6, 1, 0, 0, 5 ], [ 0, 5, 0, 0, 2, 5, 0 ] ],
  [ [ 0, 0, 18, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 6, 6, 0 ], [ 1, 0, 8, 1, 0, 0, 8 ], [ 0, 0, 18, 0, 0, 0, 0 ],
      [ 0, 9, 0, 0, 0, 9, 0 ], [ 0, 6, 0, 0, 6, 6, 0 ], [ 0, 0, 12, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 8, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 2 ], [ 0, 4, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 8, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 6 ], [ 0, 0, 6, 0, 0, 0, 2 ], [ 0, 2, 0, 0, 4, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 6, 1, 0, 0, 5 ], [ 0, 4, 0, 0, 4, 4, 0 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 9, 0, 0, 0, 3 ], [ 1, 0, 6, 0, 0, 0, 5 ], [ 0, 5, 0, 0, 2, 5, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 5, 0, 0, 2, 5, 0 ], [ 0, 0, 8, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 3, 0, 0, 6, 3, 0 ], [ 0, 5, 0, 0, 2, 5, 0 ], [ 1, 0, 6, 1, 0, 0, 4 ] ] ]