Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #16840312 | C2 | semidirect |
| 2. #16840059 | C2 | semidirect |
| 3. #16840047 | C2 | semidirect |
| 4. #16840042 | C2 | semidirect |
| 5. #16840013 | C2 | semidirect |
| 6. #16840010 | C2 | semidirect |
| 7. #16839974 | C2 | semidirect |
| 8. #16839962 | C2 | semidirect |
| 9. #16839957 | C2 | semidirect |
| 10. #16839786 | C2 | semidirect |
| 11. C61×#529 | C2 | semidirect |
| 143. #529 | D61 | semidirect |
| 153. C61 | #3251 | semidirect |