Degree 20: T726

Name(s): t20n726

Order: 80000 = 27 · 54

Parity: -1

|Aut(K)|=|CS20(G)|= 1

Subfields: 2T1, 4T3

Other representations: 20T726

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, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T11, 8T11, 16T2
  32: 8T17, 8T17, 8T17, 8T17, 8T18, 16T19, 16T19, 16T21, 16T34, 16T34, 16T37
  64: 16T111, 16T111, 64T?
  128: 16T211
  800: 10T33, 10T33
  1600: 20T212, 20T212
  3200: 20T271, 20T271