Degree 16: T₆₅₆

Name(s): t16n656

Order: 256 = 2⁸

Parity: 1

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

Subfields: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 8T3

Other representations: 16T656, 16T641, 16T641, 16T494, 16T494, 16T628, 16T628, 16T494, 16T494, 16T628, 16T628, 16T639, 16T639, 16T594, 16T594, 16T625, 16T625, 16T625, 16T625

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11, 8T11, 8T11, 8T11, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T22, 8T22, 16T18, 16T18, 16T25, 16T25, 16T25
  64: 16T73, 16T105, 16T115, 16T115, 16T115, 16T115, 16T117
  128: 32T?