Degree 16: T₁₇₅₇

Name(s): t16n1757

Order: 12288 = 2¹² · 3

Parity: 1

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

Subfields: 4T5, 8T44

Other representations: 16T1759, 16T1759, 16T1759, 16T1759, 16T1759, 16T1759, 16T1759, 16T1759, 16T1757, 16T1757, 16T1757, 16T1757, 16T1757, 16T1757, 16T1757

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2
  8: 4T3, 4T3, 8T3
  12: 6T3, 6T3, 6T3
  16: 8T9
  24: 4T5, 12T10
  48: 6T11, 6T11, 6T11, 12T28
  96: 12T48
  192: 8T41, 12T86
  384: 8T44, 8T44, 12T136
  768: 12T186, 16T1045, 16T1049
  1536: 32T?
  3072: 16T1519
  6144: 24T8319