Degree 18: T₆₄₈

Name(s): t18n648

Order: 23328 = 2⁵ · 3⁶

Parity: -1

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

Subfields: 2T1, 6T13

Other representations: 18T648

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9
  32: 8T18
  72: 6T13, 6T13
  144: 12T77, 12T77
  288: 12T125, 12T125
  2592: 12T248