Degree 12: T₁₇₁

Name(s): [3^4:2]E(4)_2

Order: 648 = 2³ · 3⁴

Parity: 1

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

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

Other representations: 12T171, 12T171, 12T171, 12T171, 12T171, 12T171, 12T171, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T192, 18T192, 18T192, 18T192, 18T192, 18T192, 18T192, 18T192

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  8: 8T2
  36: 6T10, 6T10
  72: 12T40, 12T40