Degree 16: T₁₁₆₁

Name(s): t16n1161

Order: 1024 = 2¹⁰

Parity: 1

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

Subfields: 2T1, 4T1, 8T27

Other representations: 16T1198, 16T1198, 16T1198, 16T1198, 16T1198, 16T1198, 16T1161, 16T1161, 16T1161, 16T1161, 16T1161, 16T1198, 16T1161, 16T1198, 16T1215, 16T1215, 16T1215, 16T1215, 16T1215, 16T1215, 16T1215, 16T1161, 16T1176, 16T1176, 16T1176, 16T1176, 16T1176, 16T1176, 16T1176, 16T1215, 16T1176

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T15, 8T15, 8T21, 8T21, 16T21
  64: 8T27, 8T27, 8T30, 8T30, 16T75, 16T92, 16T122
  128: 16T248, 16T261, 32T?
  256: 16T633
  512: 32T?