Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
348 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 348 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. #16840490 | C2 | semidirect |
| 3. #16840117 | C2 | semidirect |
| 5. #16840063 | C2 | semidirect |
| 6. #16840048 | C2 | semidirect |
| 7. #16839985 | C2 | semidirect |
| 9. C4×Dic244 | C2 | semidirect |
| 10. C4×#11758190 | C2 | semidirect |
| 11. C8×Q8×C61 | C2 | semidirect |
| 126. C8×Q8 | D61 | semidirect |
| 129. C61 | #3365 | semidirect |