Degree 16: T₄₉₈

Name(s): t16n498

Order: 256 = 2⁸

Parity: -1

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

Subfields: 2T1, 4T3, 8T15

Other representations: 16T498, 16T498, 16T498

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11, 8T11, 8T11, 8T11, 16T3
  32: 8T15, 8T15, 8T15, 8T15, 16T18, 16T18, 16T25
  64: 16T89, 16T89, 16T117
  128: 32T?