Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16811332 | C2 | semidirect |
| 2. #16811031 | C2 | semidirect |
| 3. #16811025 | C2 | semidirect |
| 4. #16810923 | C2 | semidirect |
| 5. #16810921 | C2 | semidirect |
| 6. #16810901 | C2 | semidirect |
| 7. #16810753 | C2 | semidirect |
| 41. D8×C53 | Q8 | semidirect |
| 106. C53 | #3389 | semidirect |
| 138. D8 | Dic106 | semidirect |