Degree 16: T₅₆₄

Name(s): t16n564

Order: 256 = 2⁸

Parity: 1

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

Subfields: 2T1, 4T1, 8T20

Other representations: 16T564, 16T564, 16T564

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T2
  8: 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T5
  16: 8T10, 8T10, 8T10, 16T4, 16T8, 16T8, 16T8
  32: 8T21, 8T21, 32T?
  64: 8T30, 16T96, 16T174
  128: 32T?