Degree 16: T₉₀₉

Name(s): t16n909

Order: 512 = 2⁹

Parity: -1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T909, 16T909, 16T909, 16T909, 16T909, 16T909, 16T909

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, 4T3, 4T3, 4T3, 4T3, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T15, 8T15, 8T15, 8T15, 8T15, 8T15, 8T15, 8T15, 8T18, 8T18, 8T18, 8T18, 16T25, 16T25, 16T25
  64: 8T26, 8T26, 16T89, 16T89, 16T89, 16T89, 16T105
  128: 16T255, 16T255, 16T265
  256: 32T?