degree:12
 order:60
[ 12, 12, 5, 6, 12, 12 ][ 6, 12, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6 ]
minimal polynomial:
[ x-12, x, x+12, x^2-6*x-36, x^2+6*x-36 ]1
[ x-12, x, x^2+6*x-36 ]
[ x-5, x+1 ]
[ x-6, x, x+6 ]
[ x-12, x, x+12, x^2-6*x-36, x^2+6*x-36 ]
[ x-12, x, x^2+6*x-36 ]

 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, 5, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 6, 0 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 6, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 6, 6, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 6, 0 ], [ 1, 0, 0, 5, 0, 0, 6 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 6, 0, 0, 6, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 5, 0, 0, 0 ], [ 0, 5, 0, 0, 0, 0, 0 ], [ 0, 0, 5, 0, 0, 0, 0 ], [ 1, 0, 0, 4, 0, 0, 0 ],
      [ 0, 0, 0, 0, 5, 0, 0 ], [ 0, 0, 0, 0, 0, 5, 0 ], [ 0, 0, 0, 0, 0, 0, 5 ] ],
  [ [ 0, 0, 0, 0, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 1, 0, 0, 5, 0, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 6, 0, 0, 0, 6 ], [ 0, 6, 0, 0, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 1, 0, 0, 5, 0, 0, 6 ], [ 0, 6, 0, 0, 0, 6, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 6, 6, 0 ], [ 0, 0, 6, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 6, 0 ], [ 1, 0, 6, 5, 0, 0, 0 ] ] ]