degree:12
 order:64
[ 12, 12, 1, 2, 12, 24 ][ 2, 12, 0, 2, 3, 0, 0, 2, 4, 0, 0, 0, 2, 0, 3 ]
minimal polynomial:
[ x-12, x-4, x, x+4, x+6, x^2+4*x-16 ]1
[ x-12, x, x+4 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-12, x-6, x, x+4, x^2+4*x-16 ]
[ x-24, x, x+8, x^2-8*x-64 ]

 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, 2, 1, 0, 2, 6 ], [ 0, 2, 0, 0, 0, 2, 8 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 2, 2, 0, 2, 0, 6 ], [ 0, 3, 4, 0, 0, 3, 2 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 8 ], [ 1, 0, 8, 1, 2, 0, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 8 ], [ 0, 4, 0, 0, 0, 4, 4 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ],
      [ 0, 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, 2, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 2, 2, 0, 2, 0, 6 ], [ 0, 2, 0, 0, 0, 2, 8 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 2, 6 ], [ 0, 3, 4, 0, 0, 3, 2 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 6, 8, 0, 0, 6, 4 ], [ 0, 8, 0, 0, 0, 8, 8 ], [ 0, 0, 0, 0, 0, 0, 24 ],
      [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 6, 8, 0, 0, 6, 4 ], [ 1, 2, 4, 1, 2, 2, 12 ] ] ]