Degree 18: T656

Name(s): t18n656

Order: 27648 = 210 · 33

Parity: -1

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

Subfields: 3T2, 9T10

Other representations: 18T656

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 6T1, 6T1, 6T1
  12: 6T3, 12T2
  18: 6T5
  24: 4T5
  36: 12T18
  48: 6T11
  54: 9T10
  72: 12T45
  108: 18T45
  144: 18T61
  216: 18T98
  432: 18T147
  3456: 12T254
  6912: 18T512
  13824: 18T588