Degree 20: T₈₁₅

Name(s): t20n815

Order: 160000 = 2⁸ · 5⁴

Parity: 1

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

Subfields: 2T1, 2T1, 2T1, 4T2

Other representations: none

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 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, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11, 8T11, 8T11, 8T11, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T3
  32: 8T22, 8T22, 16T18, 16T18, 16T19, 16T19, 16T19, 16T19, 16T19, 16T19, 16T19, 16T19, 16T25, 16T25, 32T?
  64: 16T68, 16T81, 16T109, 16T115, 16T115, 64T?, 64T?
  128: 128T?
  256: 16T453