Degree 18: T₇₂₉

Name(s): t18n729

Order: 52488 = 2³ · 3⁸

Parity: 1

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

Subfields: 2T1, 6T10

Other representations: 18T729, 18T729, 18T729, 18T729, 18T729, 18T729, 18T729, 18T729

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  6: 3T2, 3T2
  8: 8T2
  12: 6T3, 6T3
  24: 12T11, 12T11
  36: 6T9, 6T10
  72: 12T39, 12T40
  216: 12T119, 12T119
  648: 12T170
  5832: 18T497
  17496: 27T953, 27T953