Degree 12: T₂₁₄

Name(s): [1/2.F_36^2]2

Order: 1296 = 2⁴ · 3⁴

Parity: 1

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

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

Other representations: 12T214, 12T214, 12T214, 12T214, 12T214, 18T290, 18T290, 18T290, 18T290, 18T290, 18T290, 18T291, 18T291, 18T291, 18T294, 18T294

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 8T3
  16: 8T11