Degree 20: T₈₈₉

Name(s): t20n889

Order: 320000 = 2⁹ · 5⁴

Parity: 1

|Aut(K)|=|C_S20(G)|= 1

Subfields: 2T1, 4T3

Other representations: none

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T15, 8T17, 8T17, 8T19, 8T19, 16T21, 16T32
  64: 16T76, 16T111, 64T?
  128: 16T243, 16T244, 16T254
  256: 256T?
  512: 16T928