degree:8
 order:40
[ 8, 4, 3, 24 ][ 2, 0, 2, 0, 1, 1 ]

minimal polynomial:[ x-8, x-2, x, x+2, x+4 ]x^3-16*x
x^2-2*x-3
x^5-20*x^4-116*x^3+432*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, 8, 0, 0, 0 ], [ 1, 0, 1, 0, 6 ], [ 0, 2, 0, 0, 6 ], [ 0, 0, 0, 0, 8 ], [ 0, 2, 1, 1, 4 ] ], 
  [ [ 0, 0, 4, 0, 0 ], [ 0, 1, 0, 0, 3 ], [ 1, 0, 0, 3, 0 ], [ 0, 0, 4, 0, 0 ], [ 0, 1, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 3 ], [ 0, 0, 3, 0, 0 ], [ 1, 0, 0, 2, 0 ], [ 0, 1, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 24 ], [ 0, 6, 3, 3, 12 ], [ 0, 6, 0, 0, 18 ], [ 0, 8, 0, 0, 16 ], [ 1, 4, 3, 2, 14 ] ] ]