Degree 16: T₆₆₆

Name(s): t16n666

Order: 256 = 2⁸

Parity: -1

|Aut(K)|=|C_S16(G)|= 2

Subfields: 2T1, 4T3, 8T15

Other representations: 16T666, 16T666, 16T666

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T8, 8T8, 8T9, 8T9, 8T9
  32: 8T15, 8T18, 16T48
  64: 16T155, 16T164, 16T165
  128: 32T?