degree:12
 order:56
[ 12, 12, 1, 6, 12, 12 ][ 4, 12, 0, 2, 0, 0, 4, 4, 2, 0, 0, 0, 2, 2, 4 ]
minimal polynomial:
[ x-12, x, x+2, x+4, x^3-2*x^2-36*x+8 ]1
[ x-12, x, x+2, x+4, x^3-2*x^2-36*x+8 ]
[ x-1, x+1 ]
[ x-6, x, x+2 ]
[ x-12, x, x+2 ]
[ x-12, x, x+2, x+4, x^3-2*x^2-36*x+8 ]

 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, 12, 0, 0, 0, 0, 0 ], [ 1, 4, 4, 1, 0, 2, 0 ], [ 0, 4, 0, 0, 2, 4, 2 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 4, 0, 0, 4, 4 ], [ 0, 2, 4, 0, 2, 0, 4 ], [ 0, 0, 2, 0, 2, 4, 4 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 2, 4, 2 ], [ 1, 0, 4, 1, 0, 2, 4 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 4, 0, 0, 0, 4, 4 ], [ 0, 4, 2, 0, 2, 0, 4 ], [ 0, 2, 4, 0, 2, 4, 0 ] ],
  [ [ 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, 2, 0, 0, 2, 2 ], [ 0, 2, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 1, 0, 0, 1, 4, 0, 0 ], [ 0, 2, 2, 0, 0, 0, 2 ], [ 0, 2, 2, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 2, 4, 0, 2, 0, 4 ], [ 0, 4, 2, 0, 2, 0, 4 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 4, 4, 0, 0, 0, 4 ], [ 1, 0, 0, 1, 0, 10, 0 ], [ 0, 4, 4, 0, 2, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 2, 0, 2, 4, 4 ], [ 0, 2, 4, 0, 2, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 4, 4, 0, 0, 4, 0 ], [ 0, 4, 4, 0, 2, 0, 2 ], [ 1, 4, 0, 1, 0, 2, 4 ] ] ]