Degree 16: T₁₁₆₅

Name(s): t16n1165

Order: 1024 = 2¹⁰

Parity: -1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T1165, 16T1165, 16T1165, 16T1165, 16T1165, 16T1165, 16T1165

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, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T17, 8T17, 8T18, 8T18, 8T18, 8T18, 16T21, 16T21, 16T21
  64: 8T26, 8T29, 16T79, 16T107, 16T111, 16T175, 16T177
  128: 32T?, 32T?, 32T?
  256: 16T500, 16T503, 16T530
  512: 32T?