Degree 12: T₁₆₉

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

Order: 648 = 2³ · 3⁴

Parity: -1

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

Subfields: 2T1, 4T3

Other representations: 12T169, 18T210, 18T210

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2, 3T2
  8: 4T3
  12: 6T3, 6T3
  24: 12T12, 12T13
  36: 6T9
  72: 6T13, 12T38
  216: 12T116, 12T118