Degree 12: T₂₈

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

Order: 48 = 2⁴ · 3

Parity: -1

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

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

Other representations: 12T28, 12T28, 12T28

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2
  8: 4T3, 4T3, 8T3
  12: 6T3, 6T3, 6T3
  16: 8T9
  24: 12T10