degree:12
 order:52
[ 12, 1, 14, 24 ][ 12, 0, 5, 0, 0, 7 ]

minimal polynomial:[ x-12, x, x+12, x^2-14 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-1
x^5-210*x^3+2744*x
x^3-22*x^2-48*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, 0, 1, 0, 10 ], [ 0, 12, 0, 0, 0 ], [ 0, 0, 0, 0, 12 ], [ 0, 5, 0, 7, 0 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 14, 0 ], [ 0, 0, 0, 0, 14 ], [ 0, 0, 0, 14, 0 ], [ 1, 0, 1, 0, 12 ], [ 0, 7, 0, 7, 0 ] ], 
  [ [ 0, 0, 0, 0, 24 ], [ 0, 10, 0, 14, 0 ], [ 0, 0, 0, 0, 24 ], [ 0, 12, 0, 12, 0 ], [ 1, 0, 1, 0, 22 ] 
     ] ]