Degree 8: T₂₂

Name(s): E(8):D_4=[2^3]2^2

Order: 32 = 2⁵

Parity: 1

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

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

Other representations: 8T22, 8T22, 8T22, 8T22, 8T22, 16T23, 16T23, 16T23, 16T23, 16T23, 16T23, 16T23, 16T23, 16T23

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: 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 16T3