Degree 16: T₅₆₈

Name(s): t16n568

Order: 256 = 2⁸

Parity: -1

|Aut(K)|=|C_S16(G)|= 4

Subfields: 2T1, 4T3, 8T17

Other representations: 16T568, 16T568, 16T568

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T7, 8T7, 8T7, 8T7, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T15, 8T15, 8T17, 8T17, 16T15, 16T15, 16T21
  64: 16T75, 16T95, 16T111
  128: 32T?