degree:8
 order:56
 [ 8, 8, 3, 8, 12, 16 ][ 2, 8, 0, 0, 1, 0, 6, 0, 0, 0, 0, 0, 0, 1, 6 ]
minimal polynomial:
[ x-8, x-6, x, x+6, x+8, x^2-24 ]1
[ x-8, x, x+4 ]
[ x-3, x+1 ]
[ x-8, x-6, x, x+6, x+8, x^2-24 ]
[ x-12, x, x+12 ]
[ x-16, x, x+12 ]
 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, 2, 3, 0, 0, 2 ], [ 0, 2, 0, 0, 6, 0, 0 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 0, 6, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 1, 0, 0, 1, 6, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 6, 0, 0 ], [ 1, 0, 4, 3, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0 ],
      [ 0, 6, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 8 ] ],
  [ [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ], [ 1, 0, 0, 2, 0, 0, 0 ],
      [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 8, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 2 ], [ 0, 6, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0 ],
      [ 1, 0, 2, 3, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 1, 0, 0, 1, 6, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 1, 0, 8, 3, 0, 0, 0 ], [ 0, 6, 0, 0, 6, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 2, 0, 0, 2, 12, 0 ], [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 0, 0, 0, 0, 0, 16 ],
      [ 0, 2, 0, 0, 2, 12, 0 ], [ 0, 8, 0, 0, 8, 0, 0 ], [ 1, 0, 8, 3, 0, 0, 4 ] ] ]