Degree 16: T₁₅₆₄

Name(s): t16n1564

Order: 4096 = 2¹²

Parity: -1

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

Subfields: 2T1, 2T1, 2T1, 4T2, 8T31

Other representations: 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564, 16T1564

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: 8T29, 8T29, 8T31, 8T31, 16T73, 16T105, 16T115, 16T115, 16T115, 16T115, 16T117
  128: 16T246, 16T246, 32T?
  256: 16T528, 16T656, 16T656
  512: 32T?
  1024: 16T1220, 16T1220, 16T1238
  2048: 128T?