Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16840462 | C2 | semidirect |
| 2. #16840164 | C2 | semidirect |
| 3. #16840084 | C2 | semidirect |
| 4. #16840074 | C2 | semidirect |
| 5. #16840062 | C2 | semidirect |
| 6. #16840012 | C2 | semidirect |
| 7. #16839841 | C2 | semidirect |
| 8. #16839803 | C2 | semidirect |
| 9. C4×D8×C61 | C2 | semidirect |
| 109. C4×D8 | D61 | semidirect |
| 112. C61 | #3355 | semidirect |