Degree 12: T₁₄₆

Name(s): [2^4]S_4(6c)

Order: 384 = 2⁷ · 3

Parity: -1

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

Subfields: 3T2, 6T8

Other representations: 12T145, 12T145, 12T146, 16T744, 16T744

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2
  8: 4T3
  12: 6T3
  24: 4T5, 12T13
  48: 6T11
  96: 12T49
  192: 8T41