degree:6
 order:63
[ 6, 4, 4, 12, 18, 18 ][ 3, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 3 ] 

minimal polynomial:
[ x-6, x-3, x, x+3, x^3+3*x^2-18*x-27 ]1
[ x-4, x-1, x+2 ]
[ x-4, x-1, x+2 ]
[ x-12, x-3, x, x+3, x^3+6*x^2-72*x-216 ]
[ x-18, x, x^3+9*x^2-162*x-729 ]
[ x-18, x, x^3+9*x^2-162*x-729 ]
 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, 6, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 0, 0, 3, 0 ], [ 0, 3, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 0, 0, 1, 2, 0, 3, 0 ], [ 0, 1, 0, 0, 2, 0, 3 ], [ 0, 0, 0, 0, 0, 3, 3 ] ],
  [ [ 0, 0, 4, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0, 0 ], [ 1, 0, 1, 2, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0 ],
      [ 0, 1, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0, 0 ],
      [ 0, 2, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 12, 0, 0 ], [ 0, 0, 2, 4, 0, 6, 0 ], [ 0, 3, 0, 0, 9, 0, 0 ], [ 0, 6, 0, 0, 6, 0, 0 ],
      [ 1, 0, 3, 2, 0, 6, 0 ], [ 0, 2, 0, 0, 4, 0, 6 ], [ 0, 0, 0, 0, 0, 6, 6 ] ],
  [ [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 3, 0, 0, 6, 0, 9 ], [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 0, 0, 0, 0, 18, 0 ],
      [ 0, 3, 0, 0, 6, 0, 9 ], [ 1, 0, 4, 4, 0, 0, 9 ], [ 0, 3, 0, 0, 6, 9, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 0, 0, 0, 0, 9, 9 ], [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 0, 0, 0, 0, 0, 18 ],
      [ 0, 0, 0, 0, 0, 9, 9 ], [ 0, 3, 0, 0, 6, 9, 0 ], [ 1, 3, 4, 4, 6, 0, 0 ] ] ]