degree:3
 Order:54
[ 3, 6, 8, 12, 12, 12 ][ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0 ]

minimal polynomial:
[ x-3, x, x+3, x^2-6, x^2-3 ]1
[ x-6, x-3, x, x+3 ]
[ x-8, x-2, x+1, x+4 ]
[ x-12, x-3, x, x+3 ]
[ x-12, x, x+12, x^2-12, x^2-6 ]
[ x-12, x, x+12, x^2-24, x^2-3 ]

 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, 3, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ],
      [ 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 1, 0, 2, 0, 0 ], [ 0, 0, 0, 2, 1, 0, 0 ] ],
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 1, 0, 1, 0, 4, 0, 0 ], [ 0, 0, 0, 3, 3, 0, 0 ],
      [ 0, 0, 2, 2, 2, 0, 0 ], [ 0, 1, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 2, 4 ] ],
  [ [ 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 4, 4, 0, 0 ], [ 1, 0, 3, 1, 3, 0, 0 ],
      [ 0, 0, 2, 2, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 4 ], [ 0, 2, 0, 0, 0, 4, 2 ] ],
  [ [ 0, 0, 0, 0, 12, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 4 ], [ 0, 0, 4, 4, 4, 0, 0 ], [ 0, 0, 3, 3, 6, 0, 0 ],
      [ 1, 0, 2, 4, 5, 0, 0 ], [ 0, 2, 0, 0, 0, 4, 6 ], [ 0, 1, 0, 0, 0, 6, 5 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 4, 0, 8, 0, 0 ], [ 0, 2, 0, 0, 0, 6, 4 ], [ 0, 0, 0, 0, 0, 6, 6 ],
      [ 0, 2, 0, 0, 0, 4, 6 ], [ 1, 0, 3, 4, 4, 0, 0 ], [ 0, 0, 2, 4, 6, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 8, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 8 ], [ 0, 3, 0, 0, 0, 6, 3 ],
      [ 0, 1, 0, 0, 0, 6, 5 ], [ 0, 0, 2, 4, 6, 0, 0 ], [ 1, 0, 4, 2, 5, 0, 0 ] ] ]