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 |
|---|---|---|
| 1. #16840490 | C2 | semidirect |
| 2. #16840116 | C2 | semidirect |
| 4. #16840062 | C2 | semidirect |
| 5. #16840047 | C2 | semidirect |
| 6. #16839981 | C2 | semidirect |
| 8. Q8×#92418 | C2 | semidirect |
| 9. C4×#11758202 | C2 | semidirect |
| 10. C4×#11758200 | C2 | semidirect |
| 129. C61 | #3365 | semidirect |