Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16811022 | C2 | semidirect |
| 3. #16810997 | C2 | semidirect |
| 4. #16810991 | C2 | semidirect |
| 5. #16810989 | C2 | semidirect |
| 6. #16810871 | C2 | semidirect |
| 7. #16810854 | C2 | semidirect |
| 8. #16810721 | C2 | semidirect |
| 9. C4×#11719924 | C2 | semidirect |
| 10. #16810579 | C2 | semidirect |
| 11. C53×#541 | C2 | semidirect |
| 109. #541 | D53 | semidirect |
| 120. C53 | #3174 | semidirect |