Degree 16: T₁₇₆₇

Name(s): t16n1767

Order: 12288 = 2¹² · 3

Parity: 1

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

Subfields: 4T4, 8T32

Other representations: 16T1767

Resolvents
  3: 3T1
  12: 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4, 4T4
  48: 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32
  96: 8T32, 8T32, 8T32, 8T32, 8T32, 8T32, 8T32
  192: 24T390
  384: 24T739, 24T739, 24T739, 24T739, 24T739, 24T739, 24T739
  768: 16T1071, 16T1071, 16T1071, 16T1071, 16T1071, 16T1071, 16T1071
  1536: 128T?
  6144: 48T?