Degree 18: T724

Name(s): t18n724

Order: 52488 = 23 · 38

Parity: -1

|Aut(K)|=|CS18(G)|= 3

Subfields: 2T1, 6T13

Other representations: 18T724, 18T724, 18T724, 18T724, 18T724, 18T724, 18T724, 18T724

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 6T1, 6T1, 6T1
  8: 4T3
  12: 6T3, 12T2
  18: 6T5
  24: 12T13, 12T14
  36: 12T18
  72: 6T13, 12T42
  216: 12T116, 12T121
  648: 12T167
  5832: 18T492
  17496: 27T924, 27T933