Degree 18: T₈₃₆

Name(s): t18n836

Order: 165888 = 2¹¹ · 3⁴

Parity: -1

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

Subfields: 3T2, 9T31

Other representations: 18T836, 18T837, 18T837, 18T837, 18T837, 18T836, 18T836

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, 12T10
  48: 6T11, 6T11, 6T11
  96: 12T48
  1296: 9T31
  2592: 18T394
  82944: 12T294