Degree 18: T₉₁₂

Name(s): t18n912

Order: 663552 = 2¹³ · 3⁴

Parity: -1

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

Subfields: 3T2, 9T31

Other representations: 18T912, 18T912, 18T912, 18T912, 18T912, 18T912, 18T912

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
  10368: 18T556
  82944: 12T294
  165888: 18T836
  331776: 18T880