Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 1. #16840312 | C2 | semidirect |
| 2. #16840157 | C2 | semidirect |
| 3. #16840152 | C2 | semidirect |
| 4. #16840132 | C2 | semidirect |
| 5. #16840128 | C2 | semidirect |
| 6. #16839984 | C2 | semidirect |
| 7. #16839977 | C2 | semidirect |
| 8. #16839922 | C2 | semidirect |
| 9. #16839905 | C2 | semidirect |
| 10. #16839819 | C2 | semidirect |
| 11. C61×#529 | C2 | semidirect |
| 142. #529 | D61 | semidirect |
| 152. C61 | #3219 | semidirect |