Degree 12: T₁₇₄

Name(s): [3^4:2]E(4)_4

Order: 648 = 2³ · 3⁴

Parity: 1

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

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

Other representations: 12T174, 12T174, 12T174, 12T174, 12T174, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  8: 8T5
  72: 9T14, 9T14, 9T14, 9T14