Degree 12: T₁₂₅

Name(s): [S(3)^2]D(4)=D(6)wr2

Order: 288 = 2⁵ · 3²

Parity: -1

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

Subfields: 2T1, 4T3, 6T13

Other representations: 12T125, 12T125, 12T125, 12T125, 12T125, 12T125, 12T125

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
  144: 12T77