Degree 18: T₆₅₄

Name(s): t18n654

Order: 26244 = 2² · 3⁸

Parity: -1

|Aut(K)|=|C_S18(G)|= 1

Subfields: 2T1, 6T9

Other representations: 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654, 18T654

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 3T2, 3T2, 3T2, 3T2, 3T2
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  18: 9T5, 9T5
  36: 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 6T9, 18T12, 18T12
  108: 18T58, 18T58, 18T58, 18T58, 18T58, 18T58, 18T58, 18T58
  324: 18T138
  972: 27T256, 27T284
  2916: 18T425
  8748: 27T728, 27T728