Degree 12: T₁₈₈

Name(s): [2^6]A_4=2wrA_4(6)

Order: 768 = 2⁸ · 3

Parity: -1

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

Subfields: 3T1, 6T4

Other representations: 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T188, 12T188, 12T188, 12T188, 12T188, 12T188, 12T188

Resolvents
  2: 2T1
  3: 3T1
  6: 6T1
  12: 4T4, 4T4, 4T4, 4T4, 4T4
  24: 6T6, 6T6, 6T6, 6T6, 6T6
  48: 12T32
  96: 8T32, 8T32, 12T56
  192: 16T424
  384: 16T731