Degree 18: T₂₈₉

Name(s): t18n289

Order: 1296 = 2⁴ · 3⁴

Parity: -1

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

Subfields: 2T1, 6T9, 6T13

Other representations: 12T217, 12T217, 18T289

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2
  8: 4T3, 4T3, 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  16: 8T9
  24: 12T10, 12T10
  36: 6T9
  48: 12T28, 12T28
  72: 6T13, 12T37
  144: 12T77, 12T81
  432: 12T156, 12T156