Degree 16: T₁₆₂₃

Name(s): t16n1623

Order: 4096 = 2¹²

Parity: -1

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

Subfields: 2T1, 4T3, 8T29

Other representations: 16T1619, 16T1619, 16T1619, 16T1619, 16T1619, 16T1619, 16T1619, 16T1619, 16T1623, 16T1623, 16T1623, 16T1623, 16T1623, 16T1623, 16T1623

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
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T15, 8T15, 8T18, 8T18, 8T18, 8T18, 16T25, 16T25, 16T25
  64: 8T26, 8T26, 8T31, 8T31, 16T89, 16T105, 16T118
  128: 16T245, 16T265, 32T?
  256: 16T510, 16T608, 16T654
  512: 32T?
  1024: 16T1111
  2048: 32T?