Degree 18: T₈₅₂

Name(s): t18n852

Order: 209952 = 2⁵ · 3⁸

Parity: -1

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

Subfields: 2T1, 6T13

Other representations: 18T852, 18T852

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
  23328: 18T648