Degree 12: T₂₆₁

Name(s): [S(3)^4]E(4)=S(3)wrE(4)

Order: 5184 = 2⁶ · 3⁴

Parity: -1

|Aut(K)|=|C_S12(G)|= 1

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

Other representations: 12T267, 12T267, 12T267, 18T481, 18T481, 18T481

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
  64: 8T29