degree:8
 order:49
[ 8, 24, 8, 8 ][ 2, 1, 0, 3, 3, 4 ]

minimal polynomial:[ x-8, x-1, x^3+4*x^2-11*x-43 ]1
[ x-24, x-3, x+4 ]
[ x-8, x-1, x^3+4*x^2-11*x-43 ]
[ x-8, x-1, x^3+4*x^2-11*x-43 ]

 SITA:
[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ],
  [ [ 0, 8, 0, 0, 0 ], [ 1, 0, 6, 1, 0 ], [ 0, 2, 4, 1, 1 ], [ 0, 1, 3, 0, 4 ], [ 0, 0, 3, 4, 1 ] ],
  [ [ 0, 0, 24, 0, 0 ], [ 0, 6, 12, 3, 3 ], [ 1, 4, 11, 4, 4 ], [ 0, 3, 12, 6, 3 ],
      [ 0, 3, 12, 3, 6 ] ],
  [ [ 0, 0, 0, 8, 0 ], [ 0, 1, 3, 0, 4 ], [ 0, 1, 4, 2, 1 ], [ 1, 0, 6, 0, 1 ], [ 0, 4, 3, 1, 0 ] ],
  [ [ 0, 0, 0, 0, 8 ], [ 0, 0, 3, 4, 1 ], [ 0, 1, 4, 1, 2 ], [ 0, 4, 3, 1, 0 ], [ 1, 1, 6, 0, 0 ] ] ]