Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 2. #16811024 | C2 | semidirect |
| 3. #16810966 | C2 | semidirect |
| 4. #16810953 | C2 | semidirect |
| 5. #16810929 | C2 | semidirect |
| 6. #16810865 | C2 | semidirect |
| 7. #16810864 | C2 | semidirect |
| 8. #16810717 | C2 | semidirect |
| 10. #16810660 | C2 | semidirect |
| 11. C2×#107×C53 | C2 | semidirect |
| 125. C2×#107 | D53 | semidirect |
| 126. C53 | #3336 | semidirect |