Degree 18: T₁₆₅

Name(s): t18n165

Order: 486 = 2 · 3⁵

Parity: -1

|Aut(K)|=|C_S18(G)|= 3

Subfields: 2T1, 3T2, 6T2

Other representations: 18T165, 18T168, 18T168, 18T165, 18T168, 18T168, 18T168, 18T168, 18T168, 18T168, 18T168

Resolvents
  2: 2T1
  3: 3T1
  6: 3T2, 3T2, 3T2, 3T2, 6T1
  18: 6T5, 6T5, 6T5, 6T5, 9T5
  54: 9T11, 9T11, 9T11, 9T12, 9T12, 9T12, 18T23
  162: 27T46, 27T61