Degree 18: T734

Name(s): t18n734

Order: 55296 = 211 · 33

Parity: -1

|Aut(K)|=|CS18(G)|= 2

Subfields: 3T2, 9T18

Other representations: 18T734, 18T734, 18T734

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
  108: 9T18
  144: 12T83
  216: 18T94
  288: 18T111
  432: 18T152
  864: 18T228
  6912: 12T268
  13824: 18T587
  27648: 18T659