Degree 20: T₅₇₈

Name(s): t20n578

Order: 40000 = 2⁶ · 5⁴

Parity: -1

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

Subfields: 2T1, 4T3

Other representations: 20T578, 20T578, 20T578

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, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11, 8T11, 8T11, 8T11, 16T3
  32: 16T18, 16T18, 16T25
  64: 16T117
  400: 10T27, 10T27
  800: 20T154, 20T154
  1600: 20T214, 20T214