Degree 12: T₁₃₀

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

Order: 324 = 2² · 3⁴

Parity: 1

|Aut(K)|=|C_S12(G)|= 3

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

Other representations: 12T130, 18T120, 18T120, 18T120, 18T120, 18T120, 18T120

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 6T1, 6T1, 6T1
  12: 6T3, 6T3, 6T3, 12T2
  18: 6T5, 6T5, 6T5
  36: 6T9, 6T9, 6T9, 12T18, 12T18, 12T18
  108: 12T70, 12T70, 12T70, 12T71