Degree 16: T₁₁₆₄

Name(s): t16n1164

Order: 1024 = 2¹⁰

Parity: 1

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

Subfields: 2T1, 4T1, 8T27

Other representations: 16T1229, 16T1229, 16T1229, 16T1229, 16T1229, 16T1232, 16T1232, 16T1164, 16T1232, 16T1232, 16T1232, 16T1229, 16T1229, 16T1229, 16T1232, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164, 16T1232, 16T1232, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164, 16T1164

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T2
  8: 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T5
  16: 8T10, 8T10, 8T10, 16T4, 16T8, 16T8, 16T8
  32: 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 32T?
  64: 8T27, 8T27, 16T88, 16T88, 16T96, 16T140, 16T160
  128: 16T323, 32T?, 32T?
  256: 16T524, 16T598, 16T644
  512: 32T?