degree:6
 order:32
[ 6, 3, 4, 6, 6, 6 ][ 2, 0, 0, 1, 3, 0, 2, 0, 0, 0, 2, 2, 3, 1, 0 ]
minimal polynomial:
[ x-6, x-2, x, x+2, x+6, x^2-8 ]1        
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-6, x-2, x, x+2, x+6, x^2-8 ]
[ x-6, x-2, x+2 ]
[ x-6, x-2, x+2 ]
 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, 1, 0, 0, 1, 3 ], [ 0, 2, 0, 0, 4, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 3, 3 ], [ 0, 0, 2, 0, 0, 3, 1 ], [ 0, 1, 0, 2, 3, 0, 0 ], 
      [ 0, 3, 0, 2, 1, 0, 0 ] ], 
  [ [ 0, 0, 3, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 0, 0 ], [ 1, 0, 2, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 2, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 2 ], 
      [ 0, 0, 0, 0, 0, 2, 1 ] ], 
  [ [ 0, 0, 0, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 4, 0, 0, 0 ], 
      [ 1, 0, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2 ], [ 0, 2, 0, 0, 2, 0, 0 ], 
      [ 0, 2, 0, 0, 2, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 6, 0, 0 ], [ 0, 0, 2, 0, 0, 3, 1 ], [ 0, 4, 0, 0, 2, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 3, 3 ], [ 1, 0, 1, 0, 0, 1, 3 ], [ 0, 3, 0, 2, 1, 0, 0 ], 
      [ 0, 1, 0, 2, 3, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 1, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 4 ], 
      [ 0, 3, 0, 0, 3, 0, 0 ], [ 0, 3, 0, 2, 1, 0, 0 ], [ 1, 0, 1, 0, 0, 2, 2 ], 
      [ 0, 0, 2, 0, 0, 2, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 3, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 2 ], 
      [ 0, 3, 0, 0, 3, 0, 0 ], [ 0, 1, 0, 2, 3, 0, 0 ], [ 0, 0, 2, 0, 0, 2, 2 ], 
      [ 1, 0, 1, 0, 0, 2, 2 ] ] ]