Degree 18: T₁₆₄

Name(s): t18n164

Order: 486 = 2 · 3⁵

Parity: -1

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

Subfields: 2T1, 3T1, 6T1

Other representations: 18T164, 18T161, 18T161, 18T161, 18T161, 18T161, 18T161, 18T161, 18T161, 18T161, 18T164

Resolvents
  2: 2T1
  3: 3T1, 3T1, 3T1, 3T1
  6: 3T2, 6T1, 6T1, 6T1, 6T1
  9: 9T2
  18: 6T5, 6T5, 6T5, 6T5, 18T2
  27: 9T7
  54: 9T11, 18T15, 18T17
  162: 18T76, 18T77