Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#14519776 | C2 | semidirect |
| 3. #16840159 | C2 | semidirect |
| 4. #16840107 | C2 | semidirect |
| 5. #16840081 | C2 | semidirect |
| 6. #16840080 | C2 | semidirect |
| 7. #16840078 | C2 | semidirect |
| 8. #16840051 | C2 | semidirect |
| 9. #16840050 | C2 | semidirect |
| 10. #16839812 | C2 | semidirect |
| 11. C61×#481 | C2 | semidirect |
| 145. #481 | D61 | semidirect |
| 149. C61 | #3227 | semidirect |