Degree 18: T726

Name(s): t18n726

Order: 52488 = 23 · 38

Parity: -1

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

Subfields: 2T1, 6T9

Other representations: 18T726, 18T726, 18T726, 18T726, 18T726, 18T726, 18T726, 18T726

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2, 3T2, 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  24: 12T10, 12T10, 12T10, 12T10
  36: 6T9, 6T9, 6T9, 6T9, 6T9, 6T9
  72: 12T37, 12T37, 12T37, 12T37, 12T37, 12T37
  216: 12T117, 12T117, 12T117, 12T117
  648: 12T168
  1944: 27T410, 27T410
  5832: 18T495
  17496: 27T954, 27T954