degree:8
 order:52
 [ 8, 16, 1, 2, 8, 16 ][ 2, 0, 4, 0, 1, 0, 0, 4, 2, 0, 1, 0, 1, 0, 1 ] 
minimal polynomial:
[ x-8, x, x^2-8, x^3+2*x^2-16*x+8 ]1
[ x-16, x, x^3+4*x^2-64*x+64 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-8, x, x^2-8, x^3+2*x^2-16*x+8 ]
[ x-16, x, x^3+4*x^2-64*x+64 ]
 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, 1, 0, 2 ], [ 0, 2, 2, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 8, 0 ],
      [ 0, 4, 0, 0, 0, 4, 0 ], [ 0, 0, 4, 1, 1, 0, 2 ], [ 0, 1, 2, 0, 0, 1, 4 ] ],
  [ [ 0, 0, 16, 0, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 4, 4 ], [ 1, 2, 0, 1, 2, 2, 8 ], [ 0, 0, 16, 0, 0, 0, 0 ],
      [ 0, 0, 16, 0, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 4, 4 ], [ 0, 2, 8, 0, 0, 2, 4 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 4, 1, 1, 0, 2 ], [ 0, 2, 2, 0, 0, 2, 2 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 4, 0, 0, 0, 4, 0 ], [ 1, 0, 4, 0, 1, 0, 2 ], [ 0, 1, 2, 0, 0, 1, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 2, 4, 0, 0, 2, 8 ], [ 0, 2, 8, 0, 0, 2, 4 ], [ 0, 0, 0, 0, 0, 0, 16 ],
      [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 2, 4, 0, 0, 2, 8 ], [ 1, 4, 4, 1, 2, 4, 0 ] ] ]