degree:12
 order:60
[ 12, 12, 2, 9, 24 ][ 1, 12, 0, 3, 0, 4, 4, 0, 0, 3 ]

minimal polynomial:[ x-12, x-6, x, x+3, x+4, x+7 ]x^3-9*x^2-36*x
x^2-x-2
x^3-6*x^2-27*x
x^6-17*x^5-248*x^4+1164*x^3+16704*x^2+34560*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, 12, 0, 0, 0, 0 ], [ 1, 2, 1, 2, 0, 6 ], [ 0, 1, 0, 0, 3, 8 ], 
      [ 0, 12, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 8 ], [ 0, 3, 4, 0, 3, 2 ] ], 
  [ [ 0, 0, 12, 0, 0, 0 ], [ 0, 1, 0, 0, 3, 8 ], [ 1, 0, 9, 2, 0, 0 ], 
      [ 0, 0, 12, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 8 ], [ 0, 4, 0, 0, 3, 5 ] ], 
  [ [ 0, 0, 0, 2, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0 ], 
      [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 9, 0 ], [ 0, 0, 3, 0, 0, 6 ], [ 0, 3, 0, 0, 0, 6 ], 
      [ 0, 0, 0, 0, 9, 0 ], [ 1, 0, 0, 2, 6, 0 ], [ 0, 3, 3, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 0, 0, 24 ], [ 0, 6, 8, 0, 6, 4 ], [ 0, 8, 0, 0, 6, 10 ], 
      [ 0, 0, 0, 0, 0, 24 ], [ 0, 8, 8, 0, 0, 8 ], [ 1, 2, 5, 2, 3, 11 ] ] ]