Degree 18: T₅₄₄

Name(s): t18n544

Order: 9216 = 2¹⁰ · 3²

Parity: -1

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

Subfields: 3T1, 3T2, 9T4

Other representations: 18T544, 18T544, 18T544, 18T544, 18T544

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 6T1, 6T1, 6T1
  12: 4T4, 6T3, 12T2
  18: 6T5
  24: 4T5, 6T6, 6T6, 6T6
  36: 12T18
  48: 6T11, 12T25
  72: 12T43, 12T45
  144: 18T60, 18T61
  288: 8T42, 16T709
  576: 12T158, 18T176
  1152: 12T205, 12T206
  2304: 18T366, 18T367
  4608: 18T462