degree:6
 order:16
[ 6, 2, 1, 6 ][ 3, 0, 2, 0, 1, 1 ]

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

 minimal polynomial of other basis elements:
 x^3-4*x
x^2-1
x^5-4*x^4-18*x^3+24*x^2+72*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, 6, 0, 0, 0 ], [ 1, 2, 1, 0, 2 ], [ 0, 3, 0, 0, 3 ], [ 0, 0, 0, 0, 6 ], [ 0, 2, 1, 1, 2 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ], [ 1, 0, 0, 1, 0 ], [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 6 ], [ 0, 2, 1, 1, 2 ], [ 0, 3, 0, 0, 3 ], [ 0, 6, 0, 0, 0 ], [ 1, 2, 1, 0, 2 ] ] ]


 Q-polynomial