Degree 20: T₆₂₃

Name(s): t20n623

Order: 40000 = 2⁶ · 5⁴

Parity: -1

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

Subfields: 2T1, 4T1

Other representations: 20T618, 20T618, 20T618, 20T629, 20T618, 20T623

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: 16T21
  64: 16T101