Degree 16: T₁₈₄₉

Name(s): t16n1849

Order: 49152 = 2¹⁴ · 3

Parity: -1

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

Subfields: 4T5, 8T40

Other representations: 16T1849, 16T1849, 16T1849, 16T1847, 16T1847, 16T1847, 16T1847

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2
  12: 6T3
  24: 4T5, 4T5, 4T5
  48: 6T11, 6T11, 6T11
  96: 8T34
  192: 8T40, 8T40, 8T41, 8T41, 12T106
  384: 8T44, 8T44, 16T741
  768: 16T1068
  1536: 24T3296, 24T3382, 24T3382
  3072: 16T1537
  6144: 32T?
  24576: 48T?