Degree 18: T₆₂₃

Name(s): t18n623

Order: 18432 = 2¹¹ · 3²

Parity: -1

|Aut(K)|=|C_S18(G)|= 2

Subfields: 3T2, 3T2, 9T8

Other representations: 18T623, 18T623, 18T623

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, 4T5, 12T10, 12T10
  36: 6T9
  48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
  72: 12T37
  96: 12T48, 12T48
  144: 12T83, 12T83
  288: 18T111, 18T111
  576: 8T45, 16T1033
  1152: 12T195, 18T266
  2304: 12T239, 12T239
  4608: 18T461, 18T461
  9216: 18T545