Degree 18: T₅₂₃

Name(s): t18n523

Order: 7776 = 2⁵ · 3⁵

Parity: -1

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

Subfields: 3T2, 6T11

Other representations: none

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  24: 4T5, 12T10, 12T10
  36: 6T9
  48: 6T11, 6T11, 6T11
  72: 12T37
  96: 12T48
  144: 12T83
  288: 18T111
  1296: 9T31
  2592: 18T394