degree:6
 order:28
[ 6, 6, 1, 2, 6, 6 ][ 2, 0, 0, 0, 3, 0, 3, 3, 0, 0, 1, 0, 0, 1, 2 ]
minimal polynomial:
[ x-6, x-1, x, x+1, x+6, x^2-7 ]1        
[ x-6, x+1 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-6, x-1, x, x+1, x+6, x^2-7 ]
[ x-6, x-1, x+1, x+6 ]      

 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, 1, 3, 0 ], 
      [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 0, 0, 3, 1, 0, 0, 2 ], 
      [ 0, 3, 0, 0, 1, 2, 0 ] ], 
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 1, 3, 0 ], [ 1, 0, 5, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 3, 0, 0, 0, 3, 0 ], [ 0, 3, 0, 0, 1, 2, 0 ], 
      [ 0, 0, 0, 1, 0, 0, 5 ] ], 
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ], 
      [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 1, 0 ], 
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 1 ], 
      [ 0, 1, 0, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 3, 1, 0, 0, 2 ], [ 0, 3, 0, 0, 1, 2, 0 ], 
      [ 0, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 1, 0, 2, 0, 0, 0, 3 ], 
      [ 0, 2, 0, 0, 1, 3, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 3, 0, 0, 1, 2, 0 ], [ 0, 0, 0, 1, 0, 0, 5 ], 
      [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 3, 0 ], [ 0, 2, 0, 0, 1, 3, 0 ], 
      [ 1, 0, 5, 0, 0, 0, 0 ] ] ]