degree:8
 order:48
 [ 8, 8, 1, 2, 12, 16 ][ 4, 0, 0, 2, 0, 8, 0, 2, 0, 0, 0, 0, 0, 1, 3 ]
minimal polynomial:
[ x-8, x, x+4, x^2-4*x-8, x^2+4*x-8 ]1
[ x-8, x, x+4, x^2-4*x-8 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-12, x, x+4 ]
[ x-16, x, x+8, x^2+8*x-32 ]
 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, 8, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 0, 0, 3, 0 ], [ 0, 4, 0, 1, 0, 3, 0 ], [ 0, 0, 8, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 2, 2, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 1, 3, 4 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 4, 0, 1, 0, 3, 0 ], [ 1, 0, 4, 0, 0, 3, 0 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 2, 2, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 1, 3, 4 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 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, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 1, 1, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 3, 3, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 1, 0, 0, 1, 2, 8, 0 ], [ 0, 3, 3, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 0, 0, 0, 2, 6, 8 ], [ 0, 0, 0, 0, 2, 6, 8 ], [ 0, 0, 0, 0, 0, 0, 16 ],
      [ 0, 8, 8, 0, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 0, 8 ], [ 1, 4, 4, 1, 0, 6, 0 ] ] ]