Degree 16: T₁₂₁₃

Name(s): t16n1213

Order: 1024 = 2¹⁰

Parity: 1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T1167, 16T1167, 16T1167, 16T1167, 16T1167, 16T1167, 16T1111, 16T1111, 16T1111, 16T1167, 16T1167, 16T1111, 16T1111, 16T1111, 16T1111, 16T1111, 16T1213, 16T1213, 16T1213, 16T1213, 16T1213, 16T1213, 16T1213, 16T1172, 16T1172, 16T1172, 16T1172, 16T1172, 16T1172, 16T1172, 16T1172

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 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, 4T3, 4T3, 4T3, 4T3, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T15, 8T15, 8T18, 8T18, 8T18, 8T18, 16T25, 16T25, 16T25
  64: 8T26, 8T26, 8T29, 8T31, 16T89, 16T100, 16T105
  128: 16T246, 16T265, 32T?
  256: 16T510, 16T645, 16T654
  512: 32T?