Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 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. #16840144 | C2 | semidirect |
| 3. #16840119 | C2 | semidirect |
| 4. #16839972 | C2 | semidirect |
| 5. #16839967 | C2 | semidirect |
| 6. #16839962 | C2 | semidirect |
| 7. #16839957 | C2 | semidirect |
| 8. #16839922 | C2 | semidirect |
| 9. #16839905 | C2 | semidirect |
| 10. #16839815 | C2 | semidirect |
| 11. C61×#529 | C2 | semidirect |
| 146. #529 | D61 | semidirect |
| 156. C61 | #3212 | semidirect |