degree:8
 order:48
[ 8, 12, 3, 24 ][ 2, 0, 0, 0, 3, 1 ]

minimal polynomial:[ x-8, x, x+4, x^2-4*x-8 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-8*x^2-48*x
x^2-2*x-3
x^5-8*x^4-344*x^3-1056*x^2+2304*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, 4, 3, 0, 0 ], [ 0, 2, 0, 0, 6 ], [ 0, 0, 0, 0, 8 ], [ 0, 0, 3, 1, 4 ] ], 
  [ [ 0, 0, 12, 0, 0 ], [ 0, 3, 0, 0, 9 ], [ 1, 0, 8, 3, 0 ], [ 0, 0, 12, 0, 0 ], [ 0, 3, 0, 0, 9 ] ], 
  [ [ 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, 0, 9, 3, 12 ], [ 0, 6, 0, 0, 18 ], [ 0, 8, 0, 0, 16 ], [ 1, 4, 9, 2, 8 ] ] ]


 P-polynomial



 Q-polynomial