Degree 12: T₂₇₄

Name(s): [S(3)^4]D(4)=S(3)wrD(4)

Order: 10368 = 2⁷ · 3⁴

Parity: -1

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

Subfields: 2T1, 4T3

Other representations: 12T274, 18T555

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
  64: 8T29
  128: 8T35