Degree 18: T₇₇₂

Name(s): t18n772

Order: 82944 = 2¹⁰ · 3⁴

Parity: -1

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

Subfields: 3T2, 9T21

Other representations: 18T772

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2, 3T2, 3T2, 3T2
  12: 6T3, 6T3, 6T3, 6T3
  18: 9T5
  24: 4T5
  36: 18T12
  48: 6T11
  54: 9T12
  72: 12T44
  108: 18T52
  144: 18T66
  162: 9T21
  216: 18T107
  324: 18T134
  432: 18T156
  648: 18T225
  1296: 18T308
  10368: 12T276
  20736: 18T644
  41472: 18T717