Degree 12: T₁₇₂

Name(s): 1/2[3^4:2^2]E(4)

Order: 648 = 2³ · 3⁴

Parity: 1

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

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

Other representations: 12T172, 12T172, 12T172, 12T172, 12T172, 18T213, 18T213, 18T214, 18T214, 18T214, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  8: 4T3
  72: 6T13, 6T13, 6T13, 6T13