Degree 8: T₃₁

Name(s): [2^4]E(4)

Order: 64 = 2⁶

Parity: -1

|Aut(K)|=|C_S8(G)|= 2

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

Other representations: 8T29, 8T29, 8T29, 8T29, 8T29, 8T29, 8T31, 16T127, 16T128, 16T128, 16T128, 16T129, 16T129, 16T129, 16T147, 16T149, 16T149, 16T149, 16T149, 16T149, 16T149, 16T150, 16T150, 16T150

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9
  32: 8T18