Degree 16: T₁₁₈₆

Name(s): t16n1186

Order: 1024 = 2¹⁰

Parity: -1

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

Subfields: 2T1, 4T1, 8T27

Other representations: 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186, 16T1186

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, 16T106
  128: 16T227, 16T248, 32T?
  256: 16T483, 16T518, 16T633
  512: 32T?