Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16811333 | C2 | semidirect |
| 2. #16811026 | C2 | semidirect |
| 3. #16811022 | C2 | semidirect |
| 4. #16810923 | C2 | semidirect |
| 5. #16810920 | C2 | semidirect |
| 6. #16810913 | C2 | semidirect |
| 7. #16810910 | C2 | semidirect |
| 8. Q8×#88322 | C2 | semidirect |
| 11. C53×#554 | C2 | semidirect |
| 61. #11719922 | Q8 | semidirect |
| 121. #554 | D53 | semidirect |
| 131. C53 | #3380 | semidirect |