Degree 16: T₁₀₈₉

Name(s): t16n1089

Order: 1024 = 2¹⁰

Parity: 1

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

Subfields: 2T1, 2T1, 2T1, 4T2, 8T22

Other representations: 16T1089, 16T1089, 16T1089, 16T1089, 16T1089, 16T1089, 16T1089

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 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, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T3
  32: 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T22, 8T22, 8T22, 8T22, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T25, 16T25, 32T?
  64: 16T68, 16T68, 16T76, 16T76, 16T76, 16T87, 16T92, 16T92, 16T92, 16T92, 16T92, 16T92, 16T94, 16T94, 16T94, 16T119, 16T119, 16T119, 32T?
  128: 32T?, 32T?, 32T?
  256: 16T463, 16T463, 16T470
  512: 32T?