Degree 12: T₁₉₀

Name(s): 1/2[2^6]S_4(6d)

Order: 768 = 2⁸ · 3

Parity: -1

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

Subfields: 3T2, 6T7

Other representations: 12T184, 12T184, 12T184, 12T184, 12T190, 12T190, 12T190, 12T191, 12T191, 12T191, 12T191

Resolvents
  2: 2T1
  6: 3T2
  24: 4T5, 4T5, 4T5
  96: 8T34
  192: 8T39
  384: 16T776