degree:4
 order:18
[ 4, 4, 1, 4, 4 ][ 2, 4, 0, 0, 0, 0, 2, 0, 0, 2 ]

minimal polynomial:[ x-4, x, x+2, x^3-12*x+8 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-2*x^5-20*x^4+32*x^3+80*x^2-64*x
x^2-1
x^6-2*x^5-20*x^4+32*x^3+80*x^2-64*x
x^3-2*x^2-8*x

 SITA:
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 4, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0 ], [ 0, 2, 0, 0, 0, 2 ], 
      [ 0, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2 ], [ 0, 0, 2, 0, 2, 0 ] ], 
  [ [ 0, 0, 4, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 2 ], [ 1, 0, 0, 1, 2, 0 ], 
      [ 0, 0, 4, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 2 ], [ 0, 2, 0, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 2, 2 ], [ 0, 0, 2, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 4, 0 ], [ 1, 2, 0, 1, 0, 0 ], [ 0, 2, 2, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 4 ], [ 0, 0, 2, 0, 2, 0 ], [ 0, 2, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 0, 4 ], [ 0, 2, 2, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 2 ] ] ]