Degree 18: T₆₅₇

Name(s): t18n657

Order: 27648 = 2¹⁰ · 3³

Parity: -1

|Aut(K)|=|C_S18(G)|= 2

Subfields: 3T1, 9T13

Other representations: 18T657, 18T657, 18T657, 18T657, 18T657

Resolvents
  2: 2T1, 2T1, 2T1
  3: 3T1
  4: 4T2
  6: 3T2, 6T1, 6T1, 6T1
  12: 4T4, 6T3, 12T2
  18: 6T5
  24: 6T6, 6T6, 6T6
  36: 12T18
  48: 12T25
  54: 9T11
  72: 12T43
  108: 18T41
  144: 18T60
  216: 18T100
  432: 18T148
  3456: 12T251
  6912: 18T513
  13824: 18T589