Degree 16: T₁₃₈₉

Name(s): t16n1389

Order: 2048 = 2¹¹

Parity: 1

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

Subfields: 2T1, 4T3, 8T19

Other representations: 16T1389, 16T1389, 16T1389, 16T1389, 16T1389, 16T1389, 16T1389

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, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T11, 8T11, 8T11, 8T11, 16T2
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 16T19, 16T19, 16T19, 16T19, 16T21, 16T21, 16T21, 16T30, 16T30, 16T34, 16T34, 16T34, 16T34, 16T34, 16T34, 16T37, 16T37, 16T43, 16T43, 16T43, 16T43, 16T43, 16T43, 16T51, 16T51, 16T54, 16T54
  64: 8T29, 8T29, 8T31, 8T31, 8T31, 8T31, 8T31, 8T31, 16T76, 16T76, 16T79, 16T102, 16T102, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?, 32T?
  128: 16T208, 16T208, 16T210, 16T217, 16T237, 16T249, 16T249, 16T249, 16T275, 16T275, 16T364, 16T373, 16T373, 16T373, 16T373, 16T373, 16T373, 16T373, 64T?
  256: 32T?, 32T?, 32T?
  512: 16T903
  1024: 32T?