Degree 16: T₁₀₀₆

Name(s): t16n1006

Order: 512 = 2⁹

Parity: -1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T1006, 16T1006, 16T1006, 16T1006, 16T1006, 16T1006, 16T1006

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11
  32: 8T18, 8T18, 8T18, 16T34, 16T43, 16T43, 16T51
  64: 8T26, 8T26, 32T?
  128: 16T367, 16T382, 16T408
  256: 32T?