Degree 18: T₅₈₇

Name(s): t18n587

Order: 13824 = 2⁹ · 3³

Parity: -1

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

Subfields: 3T2, 9T18

Other representations: 18T587, 18T587, 18T587, 18T587, 18T587, 18T587, 18T587

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  24: 12T10, 12T10
  36: 6T9
  72: 12T37
  108: 9T18
  216: 18T94
  6912: 12T268