Degree 18: T₆₅₀

Name(s): t18n650

Order: 26244 = 2² · 3⁸

Parity: -1

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

Subfields: 2T1, 6T5

Other representations: 18T650, 18T650, 18T650, 18T650, 18T650, 18T650, 18T650, 18T650

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 6T1, 6T1, 6T1
  12: 6T3, 6T3, 6T3, 12T2
  18: 6T5, 6T5, 6T5
  36: 6T9, 6T9, 6T9, 12T18, 12T18, 12T18
  108: 12T70, 12T70, 12T70, 12T71
  324: 12T130
  972: 27T271, 27T271
  2916: 18T409
  8748: 27T786, 27T786