Degree 12: T₈₁

Name(s): [3^2:2]D(4)

Order: 144 = 2⁴ · 3²

Parity: -1

|Aut(K)|=|C_S12(G)|= 2

Subfields: 2T1, 4T3, 6T9

Other representations: 12T81, 12T81, 12T81

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2
  8: 4T3, 4T3, 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  16: 8T9
  24: 12T10, 12T10
  36: 6T9
  48: 12T28, 12T28
  72: 12T37