Degree 12: T₂₂₆

Name(s): [2^5]2S_4(6)

Order: 1536 = 2⁹ · 3

Parity: 1

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

Subfields: 3T2, 6T11

Other representations: 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2
  12: 6T3
  24: 4T5, 4T5, 4T5
  48: 6T11, 6T11, 6T11
  96: 8T34
  192: 8T39, 8T39, 12T100
  384: 16T747
  768: 16T1063