Degree 18: T740

Name(s): t18n740

Order: 69984 = 25 · 37

Parity: -1

|Aut(K)|=|CS18(G)|= 1

Subfields: 3T2, 6T11

Other representations: 18T740, 18T740

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
  324: 9T24
  432: 18T152
  648: 18T194
  864: 18T228
  1296: 9T31, 18T299
  2592: 18T394, 18T396
  7776: 18T523
  23328: 18T649