Degree 18: T577

Name(s): t18n577

Order: 11664 = 24 · 36

Parity: -1

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

Subfields: 2T1, 6T13

Other representations: 18T577

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 8T3
  16: 8T9
  72: 6T13, 6T13
  144: 12T77, 12T77
  1296: 12T210
  3888: 27T541, 27T541