Degree 16: T₁₇₇₄

Name(s): t16n1774

Order: 16384 = 2¹⁴

Parity: -1

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

Subfields: 2T1, 4T3, 8T30

Other representations: 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1774, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1774, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782, 16T1782

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T18, 8T18, 8T18, 8T18, 8T21, 8T21, 8T21, 8T21, 16T21, 16T21, 16T21
  64: 8T29, 8T30, 8T30, 8T30, 8T30, 8T31, 16T79, 16T92, 16T94, 16T173, 16T177
  128: 8T35, 8T35, 8T35, 8T35, 16T248, 16T248, 16T275, 32T?, 32T?
  256: 16T478, 16T532, 16T535, 16T535, 16T545, 16T547, 16T547
  512: 32T?, 32T?, 32T?
  1024: 16T1178
  2048: 32T?
  4096: 16T1589
  8192: 32T?