degree:11
 order:48
[ 11, 11, 1, 2, 22 ][ 1, 0, 0, 4, 11, 0, 4, 0, 0, 1 ]

minimal polynomial:[ x-11, x+1, x^2-11, x^2+6*x-11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-4*x^5-93*x^4+88*x^3+1023*x^2-484*x-1331
x^2-1
x^3-4*x
x^5-32*x^4+152*x^3+1408*x^2+1936*x

 SITA:
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 11, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 0, 8 ], [ 0, 1, 1, 1, 0, 8 ], 
      [ 0, 0, 11, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 11 ], [ 0, 4, 4, 0, 1, 2 ] ], 
  [ [ 0, 0, 11, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 8 ], [ 1, 1, 1, 0, 0, 8 ], 
      [ 0, 11, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 11 ], [ 0, 4, 4, 0, 1, 2 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 22 ], [ 0, 8, 8, 0, 2, 4 ], [ 0, 8, 8, 0, 2, 4 ], 
      [ 0, 0, 0, 0, 0, 22 ], [ 0, 11, 11, 0, 0, 0 ], [ 1, 2, 2, 1, 0, 16 ] ] ]


 Q-polynomial