Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16811325 | C2 | semidirect |
| 2. #16811024 | C2 | semidirect |
| 3. #16810945 | C2 | semidirect |
| 4. #16810939 | C2 | semidirect |
| 5. #16810921 | C2 | semidirect |
| 6. #16810856 | C2 | semidirect |
| 7. D8×Dic53 | C2 | semidirect |
| 8. C8×C22⋊D53 | C2 | semidirect |
| 9. #16810660 | C2 | semidirect |
| 10. C2×#13133151 | C2 | semidirect |
| 11. C53×#466 | C2 | semidirect |
| 127. #466 | D53 | semidirect |
| 132. C53 | #3339 | semidirect |