degree:12
 order:48
 [ 12, 2, 3, 6, 6, 18 ][ 6, 0, 8, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2 ]
minimal polynomial:
[ x-12, x, x+4, x^2-8*x-24, x^2+4*x-6 ]1
[ x-2, x+1 ]
[ x-3, x, x+3 ]
[ x-6, x, x+2, x^2-4*x-6 ]
[ x-6, x, x+6 ]
[ x-18, x, x+6, x^2+12*x-54 ]

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