Degree 16: T₁₂₉₈

Name(s): t16n1298

Order: 1536 = 2⁹ · 3

Parity: 1

|Aut(K)|=|C_S16(G)|= 2

Subfields: 2T1, 4T5, 8T24

Other representations: 16T1298, 16T1298, 16T1298, 16T1298, 16T1298, 16T1298, 16T1298

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2
  8: 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  16: 16T3
  24: 4T5, 12T10, 12T10, 12T10, 12T10, 12T10, 12T10, 12T10
  48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 24T30
  96: 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48
  192: 8T41, 24T400
  384: 12T136, 12T136, 12T136
  768: 24T2481