Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
352 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 352 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 |
|---|---|---|
| 1. #16840482 | C2 | semidirect |
| 2. #16840158 | C2 | semidirect |
| 3. #16840103 | C2 | semidirect |
| 4. #16840083 | C2 | semidirect |
| 5. #16840054 | C2 | semidirect |
| 6. #16840042 | C2 | semidirect |
| 7. #16839989 | C2 | semidirect |
| 8. C4×#11758200 | C2 | semidirect |
| 9. D4×#92418 | C2 | semidirect |
| 10. #16839798 | C2 | semidirect |
| 132. C61 | #3340 | semidirect |