Degree 16: T₁₇₂₃

Name(s): t16n1723

Order: 8192 = 2¹³

Parity: -1

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

Subfields: 2T1, 4T1, 8T16

Other representations: 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1723, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732, 16T1732

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T16, 8T16, 8T16, 8T16, 8T16, 8T16, 8T16, 8T16, 8T18, 8T18, 8T18, 8T18, 8T21, 8T21, 8T21, 8T21, 16T21, 16T21, 16T21
  64: 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 16T76, 16T76, 16T79, 16T99, 16T99, 16T99, 16T99
  128: 16T253, 16T253, 16T261, 16T261, 16T261, 16T261, 16T275
  256: 16T502, 16T533, 16T623
  512: 16T925
  1024: 32T?
  2048: 16T1420
  4096: 32T?