Degree 16: T₈₈₉

Name(s): t16n889

Order: 512 = 2⁹

Parity: -1

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

Subfields: 2T1, 4T1, 8T16

Other representations: 16T889, 16T889, 16T889, 16T889, 16T889, 16T889, 16T889

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: 8T16, 8T16, 8T16, 8T16, 8T18, 8T18, 8T18, 8T18, 16T21, 16T21, 16T21
  64: 16T79, 16T99, 16T99
  128: 16T232, 16T253, 16T290
  256: 32T?