Degree 16: T₁₂₆₉

Name(s): t16n1269

Order: 1024 = 2¹⁰

Parity: -1

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

Subfields: 2T1, 4T1, 8T27

Other representations: 16T1269, 16T1269, 16T1269, 16T1269, 16T1269, 16T1269, 16T1269

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  8: 4T3, 4T3, 8T2
  16: 8T8, 8T10, 16T14
  32: 8T17, 8T21, 32T?
  64: 8T27, 16T161, 16T174
  128: 32T?
  256: 16T695
  512: 32T?