degree:6
 order:54
[ 6, 6, 2, 9, 12, 18 ][ 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 3, 2 ]

minimal polynomial:
[ x-6, x-3, x, x+3, x+6, x^2-6 ]1
[ x-6, x, x+3 ]
[ x-2, x+1 ]
[ x-9, x, x+9 ]
[ x-12, x-6, x, x+6, x+12, x^2-6 ]
[ x-18, x, x+9 ]
 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, 0, 3 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 6, 0 ],
      [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 2, 1, 0, 0, 3 ], [ 0, 1, 0, 0, 3, 2, 0 ] ],
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 1, 0, 3, 2, 0, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 6, 0, 0 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 9, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 9 ], [ 0, 0, 0, 0, 9, 0, 0 ], [ 0, 0, 0, 0, 9, 0, 0 ],
      [ 1, 0, 6, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 9 ], [ 0, 3, 0, 0, 0, 6, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 4, 2, 0, 0, 6 ], [ 0, 4, 0, 0, 0, 8, 0 ], [ 0, 6, 0, 0, 0, 6, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 1, 0, 4, 1, 0, 0, 6 ], [ 0, 2, 0, 0, 6, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 3, 0, 0, 9, 6, 0 ], [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 0, 0, 0, 0, 0, 18 ],
      [ 0, 6, 0, 0, 0, 12, 0 ], [ 0, 3, 0, 0, 9, 6, 0 ], [ 1, 0, 6, 2, 0, 0, 9 ] ] ]