Degree 16: T₁₄₁₇

Name(s): t16n1417

Order: 2048 = 2¹¹

Parity: 1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T1369, 16T1369, 16T1369, 16T1369, 16T1369, 16T1369, 16T1369, 16T1369, 16T1417, 16T1341, 16T1341, 16T1341, 16T1341, 16T1341, 16T1341, 16T1341, 16T1341, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417, 16T1417

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, 4T3, 4T3, 4T3, 4T3, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 16T25, 16T25, 16T25, 16T25, 16T25, 16T25, 16T25
  64: 8T26, 8T26, 8T26, 8T26, 8T29, 8T31, 16T105, 16T105, 16T105, 16T105, 16T105, 16T105, 16T105
  128: 16T214, 16T246, 16T265, 16T265, 16T288, 16T320, 16T325
  256: 32T?, 32T?, 32T?
  512: 16T860, 16T860, 16T902
  1024: 32T?