degree:12
 order:64
[ 12, 3, 4, 8, 12, 24 ][ 4, 6, 0, 4, 2, 0, 0, 2, 0, 0, 2, 0, 0, 4, 2 ]
minimal polynomial:
[ x-12, x, x+4, x^2-48, x^2+4*x-8 ]1
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-8, x, x+8 ]
[ x-12, x, x+4, x^2-4*x-8, x^2-48 ]
[ x-24, x, x+8, x^2-192 ]

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