degree:6
 order:45
[ 6, 24, 2, 12 ][ 1, 0, 0, 0, 4, 1 ]

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

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