Degree 18: T₄₅₈

Name(s): t18n458

Order: 4374 = 2 · 3⁷

Parity: -1

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

Subfields: 2T1, 3T2, 6T2

Other representations: 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458, 18T458

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: 9T20, 9T20, 9T20, 9T21, 9T21, 9T21, 27T46, 27T61
  486: 18T165, 18T167, 18T167, 18T167, 18T169, 18T169, 18T169
  1458: 27T307, 27T308