Degree 18: T₅₅₆

Name(s): t18n556

Order: 10368 = 2⁷ · 3⁴

Parity: -1

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

Subfields: 3T2, 6T11, 9T31

Other representations: 18T556, 18T556, 18T556, 18T556, 18T556, 18T556, 18T556

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2
  8: 8T3
  12: 6T3, 6T3, 6T3
  24: 4T5, 4T5, 4T5, 12T10
  48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
  96: 8T34, 12T48, 12T48, 12T48
  192: 12T100, 12T100, 12T100
  384: 12T139
  1296: 9T31
  2592: 18T394
  5184: 18T483