Degree 16: T₁₈₈₉

Name(s): t16n1889

Order: 147456 = 2¹⁴ · 3²

Parity: -1

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

Subfields: 2T1, 8T46

Other representations: 16T1889, 16T1889, 16T1889, 16T1889, 16T1889, 16T1889, 16T1889

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  8: 4T3, 4T3, 8T2
  16: 8T10
  36: 6T10
  72: 12T40
  144: 12T82
  576: 8T46
  1152: 12T199
  2304: 12T241
  36864: 16T1828
  73728: 32T?