Degree 12: T₂₄₈

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

Order: 2592 = 2⁵ · 3⁴

Parity: -1

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

Subfields: 2T1, 4T3

Other representations: 12T248, 18T388, 18T388

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9
  32: 8T18
  72: 6T13, 6T13
  144: 12T77, 12T77
  288: 12T125, 12T125