Degree 12: T₂₁₀

Name(s): [3^4:2^2]E(4)

Order: 1296 = 2⁴ · 3⁴

Parity: 1

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

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

Other representations: 12T210, 12T210, 12T210, 18T287, 18T287, 18T287, 18T287, 18T292, 18T292, 18T292, 18T292

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 8T3
  16: 8T9
  72: 6T13, 6T13
  144: 12T77, 12T77