Degree 16: T₈₄₉

Name(s): t16n849

Order: 512 = 2⁹

Parity: -1

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

Subfields: 2T1, 4T1, 8T7

Other representations: 16T849, 16T849, 16T849, 16T849, 16T849, 16T849, 16T849

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T7, 8T7, 8T7, 8T7, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T16, 8T16, 8T21, 8T21, 16T15, 16T15, 16T21
  64: 16T76, 16T95, 16T99
  128: 16T252, 16T315, 16T315
  256: 32T?