degree:4
 order:36
[ 4, 8, 1, 6, 8, 8 ][ 1, 4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 1 ] 

minimal polynomial:

[ x-4, x, x+4, x^4-16*x^2+54 ]3
[ x-8, x, x^2-10 ]
[ x-1, x+1 ]
[ x-6, x, x+6, x^4-24*x^2+54 ]
[ x-8, x, x+8, x^4-16*x^2+24 ]
[ x-8, x, x^2+4*x-6 ]
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, 4, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 3, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 3, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 3, 1, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 6, 0 ], [ 1, 0, 3, 1, 0, 0, 3 ], [ 0, 0, 8, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 4, 4, 0 ], [ 0, 3, 0, 0, 3, 2, 0 ], [ 0, 0, 3, 0, 0, 0, 5 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 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, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 3, 3, 0 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 1, 0, 4, 1, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 0, 3, 0, 0, 0, 3, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 6, 0, 0, 0, 2 ], [ 0, 3, 0, 0, 3, 2, 0 ], [ 0, 0, 0, 0, 0, 8, 0 ],
      [ 0, 0, 4, 0, 0, 0, 4 ], [ 1, 0, 2, 1, 0, 0, 4 ], [ 0, 1, 0, 0, 3, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 6, 2, 0 ], [ 0, 0, 3, 0, 0, 0, 5 ], [ 0, 0, 0, 0, 0, 0, 8 ],
      [ 0, 4, 0, 0, 0, 4, 0 ], [ 0, 1, 0, 0, 3, 4, 0 ], [ 1, 0, 5, 1, 0, 0, 1 ] ] ]