Degree 16: T₁₇₇₅

Name(s): t16n1775

Order: 16384 = 2¹⁴

Parity: -1

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

Subfields: 2T1, 4T3, 8T26

Other representations: 16T1775, 16T1775, 16T1775, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1779, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775, 16T1775

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, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T22, 8T22, 16T25, 16T25, 16T25, 16T25, 16T25
  64: 8T26, 8T26, 8T26, 8T26, 8T29, 8T31, 8T31, 8T31, 16T105, 16T105, 16T109, 16T109, 16T109, 16T109, 16T119
  128: 8T35, 8T35, 8T35, 8T35, 16T246, 16T265, 16T265, 16T271, 32T?
  256: 16T509, 16T509, 16T511, 16T540, 16T616, 16T645, 16T654
  512: 32T?, 32T?, 32T?
  1024: 16T1177
  2048: 32T?
  4096: 16T1581
  8192: 32T?