Degree 12: T₉₀

Name(s): [E(4)^3]3=E(4)wr3

Order: 192 = 2⁶ · 3

Parity: 1

|Aut(K)|=|C_S12(G)|= 4

Subfields: 3T1, 6T6, 6T6, 6T6

Other representations: 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 6T1, 6T1, 6T1
  12: 4T4, 4T4, 4T4, 4T4, 4T4, 12T2
  24: 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6
  48: 12T25, 12T25, 12T25, 12T25, 12T25, 12T32
  96: 12T56, 12T56, 12T56