Degree 12: T₁₈₆

Name(s): [1/4.eD(4)^3]S(3)

Order: 768 = 2⁸ · 3

Parity: -1

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

Subfields: 3T2, 6T11

Other representations: 12T186, 12T186, 12T186, 12T193, 12T193, 12T193, 12T193, 16T1053, 16T1053, 16T1053, 16T1053

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: 4T5, 12T10
  48: 6T11, 6T11, 6T11, 12T28
  96: 12T48
  192: 8T41, 12T86
  384: 12T136