Degree 16: T₇₉₂

Name(s): t16n792

Order: 512 = 2⁹

Parity: 1

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

Subfields: 2T1, 4T3, 4T3, 4T3, 8T18

Other representations: 16T780, 16T780, 16T780, 16T780, 16T780, 16T780, 16T780, 16T780, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792, 16T792

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 4T1, 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, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T2, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T21, 16T25, 16T25, 16T25, 16T25, 16T25, 16T25, 32T?
  64: 16T79, 16T79, 16T79, 16T79, 16T79, 16T79, 16T79, 16T79, 16T105, 16T105, 16T105, 16T105, 32T?, 32T?, 32T?
  128: 16T199, 16T202, 32T?
  256: 32T?