Degree 12: T₁₀

Name(s): S(3)[x]E(4)

Order: 24 = 2³ · 3

Parity: 1

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

Subfields: 2T1, 2T1, 2T1, 3T2, 4T2, 6T3, 6T3, 6T3

Other representations: 12T10, 12T10, 12T10

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