Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16811323 | C2 | semidirect |
| 2. #16811025 | C2 | semidirect |
| 3. #16810946 | C2 | semidirect |
| 4. #16810940 | C2 | semidirect |
| 5. #16810923 | C2 | semidirect |
| 6. #16810856 | C2 | semidirect |
| 7. #16810856 | C2 | semidirect |
| 8. C8×D212 | C2 | semidirect |
| 9. #16810660 | C2 | semidirect |
| 10. #107×D53 | C2 | semidirect |
| 11. C4×D8×C53 | C2 | semidirect |
| 128. C4×D8 | D53 | semidirect |
| 132. C53 | #3339 | semidirect |