Degree 18: T₂₉₆

Name(s): t18n296

Order: 1296 = 2⁴ · 3⁴

Parity: -1

|Aut(K)|=|C_S18(G)|= 1

Subfields: 2T1, 6T10, 6T13

Other representations: 12T209, 12T209, 12T209, 12T209, 18T296, 18T296, 18T296

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  8: 4T3, 4T3, 8T2
  16: 8T10
  36: 6T10
  72: 6T13, 12T40
  144: 12T79, 12T82