Degree 16: T₉₉₈

Name(s): t16n998

Order: 512 = 2⁹

Parity: 1

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

Subfields: 2T1, 4T3, 8T29

Other representations: 16T998, 16T998, 16T998

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11
  32: 8T18, 8T18, 8T18, 16T34, 16T34, 16T43, 16T51
  64: 8T29, 8T29, 32T?
  128: 8T35, 16T364, 16T394
  256: 32T?