Degree 12: T₁₃₉

Name(s): [E(4)^3]S(3)=E(4)wrS(3)

Order: 384 = 2⁷ · 3

Parity: 1

|Aut(K)|=|C_S12(G)|= 4

Subfields: 3T2, 6T11, 6T11, 6T11

Other representations: 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3
  24: 4T5, 4T5, 4T5, 12T10
  48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
  96: 8T34, 12T48, 12T48, 12T48
  192: 12T100, 12T100, 12T100