Degree 16: T₁₂₁₄

Name(s): t16n1214

Order: 1024 = 2¹⁰

Parity: 1

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

Subfields: 2T1, 4T3, 8T30

Other representations: 16T1196, 16T1196, 16T1146, 16T1146, 16T1196, 16T1146, 16T1196, 16T1146, 16T1196, 16T1146, 16T1146, 16T1146, 16T1214, 16T1196, 16T1214, 16T1196, 16T1214, 16T1214, 16T1196, 16T1214, 16T1146, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214, 16T1214

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T2
  8: 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T5
  16: 8T10, 8T10, 8T10, 16T4, 16T8, 16T8, 16T8
  32: 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 32T?
  64: 8T30, 8T30, 8T30, 8T30, 16T88, 16T88, 16T96, 16T174, 16T174, 16T174, 16T174
  128: 16T323, 32T?, 32T?, 32T?, 32T?
  256: 16T487, 16T487, 16T589
  512: 32T?