Degree 12: T₂₄₂

Name(s): [3^4:2^3]E(4)

Order: 2592 = 2⁵ · 3⁴

Parity: 1

|Aut(K)|=|C_S12(G)|= 1

Subfields: 2T1, 2T1, 2T1, 4T2

Other representations: 12T242, 12T242, 12T242, 12T242, 12T242, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 16T3
  32: 8T22