Degree 16: T₈₄₅

Name(s): t16n845

Order: 512 = 2⁹

Parity: 1

|Aut(K)|=|C_S16(G)|= 4

Subfields: 2T1, 4T3, 8T19

Other representations: 16T845, 16T845, 16T845, 16T845, 16T845, 16T845, 16T845

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T11, 8T11, 16T2
  32: 8T18, 8T21, 8T21, 8T21, 8T21, 16T19, 16T19, 16T21, 16T34, 16T34, 16T37
  64: 16T92, 16T92, 32T?
  128: 16T237, 16T281, 16T292
  256: 32T?