degree:12
 order:48
[ 12, 3, 8, 24 ][ 12, 0, 2, 0, 0, 4 ]

minimal polynomial:[ x-12, x-8, x, x+4, x+6 ]x^2-2*x-3
x^3-4*x^2-32*x
x^4-22*x^3-96*x^2+1152*x

 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, 12, 0, 0, 0 ], [ 1, 4, 3, 0, 4 ], [ 0, 12, 0, 0, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 2, 0, 4, 6 ] ], 
  [ [ 0, 0, 3, 0, 0 ], [ 0, 3, 0, 0, 0 ], [ 1, 0, 2, 0, 0 ], [ 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 8 ], [ 0, 0, 0, 8, 0 ], [ 1, 0, 3, 4, 0 ], [ 0, 4, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 0, 24 ], [ 0, 4, 0, 8, 12 ], [ 0, 0, 0, 0, 24 ], [ 0, 12, 0, 0, 12 ], [ 1, 6, 3, 4, 10 ] 
     ] ]