degree:12
 order:48
[ 12, 12, 1, 4, 6, 12 ][ 4, 0, 3, 4, 2, 0, 6, 4, 4, 0, 0, 1, 0, 1, 2 ]
minimal polynomial:
[ x-12, x, x+4, x^2-12, x^2+4*x-6 ]1
[ x-12, x, x+4, x^2-8*x-24 ]
[ x-1, x+1 ]
[ x-4, x, x+2 ]
[ x-6, x, x+6 ]
[ x-12, x, x+4, x^2-12, x^2+4*x-6 ]

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