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