Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840172 | C2 | semidirect |
| 3. #16840152 | C2 | semidirect |
| 4. #16840128 | C2 | semidirect |
| 5. #16840121 | C2 | semidirect |
| 6. #16839996 | C2 | semidirect |
| 7. #16839993 | C2 | semidirect |
| 8. #16839872 | C2 | semidirect |
| 9. #16839860 | C2 | semidirect |
| 10. C2×#14519688 | C2 | semidirect |
| 11. C61×#529 | C2 | semidirect |
| 110. #92418 | #41 | semidirect |
| 139. #529 | D61 | semidirect |
| 149. C61 | #3180 | semidirect |