Degree 16: T₁₇₄₄

Name(s): t16n1744

Order: 8192 = 2¹³

Parity: 1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1744, 16T1744, 16T1744, 16T1744, 16T1744, 16T1744, 16T1744, 16T1739, 16T1739, 16T1739, 16T1739, 16T1739, 16T1739, 16T1739, 16T1739

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11
  32: 8T18, 8T18, 8T18, 16T34, 16T43, 16T43, 16T51
  64: 8T29, 8T29, 8T29, 8T29, 8T29, 8T29, 32T?
  128: 8T35, 8T35, 8T35, 8T35, 16T342, 16T342, 16T342, 16T364, 16T364, 16T364, 16T394
  256: 32T?, 32T?, 32T?, 32T?, 32T?
  512: 16T969, 16T969, 16T996
  1024: 32T?
  2048: 16T1461
  4096: 32T?