Degree 16: T₁₁₇₃

Name(s): t16n1173

Order: 1024 = 2¹⁰

Parity: -1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1173, 16T1173, 16T1173, 16T1173, 16T1173, 16T1173, 16T1173

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: 8T18, 8T18, 8T18, 8T18, 16T21, 16T21, 16T21
  64: 8T29, 16T79, 16T173
  128: 8T35, 8T35, 32T?
  256: 16T547
  512: 32T?