Degree 18: T₅₃₆

Name(s): t18n536

Order: 8748 = 2² · 3⁷

Parity: -1

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

Subfields: 2T1, 6T9

Other representations: 18T536, 18T536, 18T536, 18T536, 18T536, 18T536, 18T536, 18T536

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 3T2, 3T2
  12: 6T3, 6T3, 6T3, 6T3, 6T3
  18: 9T5
  36: 6T9, 6T9, 6T9, 6T9, 18T12
  54: 9T12
  108: 9T18, 18T52, 18T58
  324: 18T133, 18T135
  972: 18T244
  2916: 27T466, 27T511