Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840485 | C2 | semidirect |
| 3. #16840113 | C2 | semidirect |
| 4. #16840106 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 6. #16840002 | C2 | semidirect |
| 7. #16839972 | C2 | semidirect |
| 8. #16839921 | C2 | semidirect |
| 9. C8×D244 | C2 | semidirect |
| 10. #16839755 | C2 | semidirect |
| 11. C4×SD16×C61 | C2 | semidirect |
| 134. C4×SD16 | D61 | semidirect |
| 137. C61 | #3302 | semidirect |