Degree 16: T₁₆₇₈

Name(s): t16n1678

Order: 6144 = 2¹¹ · 3

Parity: -1

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

Subfields: 4T5, 8T40

Other representations: 16T1678, 16T1678, 16T1678, 16T1678, 16T1678, 16T1678, 16T1678

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  6: 3T2
  8: 4T3
  12: 6T3
  24: 4T5, 4T5, 4T5, 12T13
  48: 6T11, 6T11, 6T11
  96: 8T34, 12T50, 12T50, 12T50
  192: 8T40, 8T40, 12T106
  384: 12T135, 16T741, 16T754
  768: 32T?
  1536: 24T4534
  3072: 24T6321