Degree 18: T₅₈₄

Name(s): t18n584

Order: 13122 = 2 · 3⁸

Parity: -1

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

Subfields: 2T1, 6T5

Other representations: 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584, 18T584

Resolvents
  2: 2T1
  3: 3T1, 3T1, 3T1, 3T1
  6: 3T2, 3T2, 3T2, 3T2, 6T1, 6T1, 6T1, 6T1
  9: 9T2
  18: 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 6T5, 9T5, 18T2
  54: 18T17, 18T17, 18T17, 18T17, 18T23, 18T23, 18T23, 18T23
  162: 18T79
  486: 27T162, 27T169
  1458: 18T328
  4374: 27T627, 27T630