Degree 18: T677

Name(s): t18n677

Order: 34992 = 24 · 37

Parity: -1

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

Subfields: 3T2, 6T11

Other representations: 18T677, 18T677

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 3T2
  12: 6T3, 6T3, 6T3, 6T3
  18: 9T5
  24: 4T5
  36: 18T12
  48: 6T11
  54: 9T12
  72: 12T44
  108: 18T52
  144: 18T66
  162: 9T21
  216: 18T107
  324: 18T134
  432: 18T156
  648: 18T225
  1296: 9T31, 18T308
  3888: 18T444
  11664: 18T583