Degree 20: T₈₂₂

Name(s): t20n822

Order: 160000 = 2⁸ · 5⁴

Parity: -1

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

Subfields: 2T1, 4T3

Other representations: 20T838, 20T838

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, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T18, 8T18, 8T18, 8T18, 16T21, 16T21, 16T21
  64: 8T29, 16T79, 16T146
  128: 128T?
  256: 16T503