Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16840471 | C2 | semidirect |
| 2. #16840170 | C2 | semidirect |
| 3. #16840164 | C2 | semidirect |
| 4. #16840062 | C2 | semidirect |
| 5. #16840060 | C2 | semidirect |
| 6. #16840040 | C2 | semidirect |
| 7. #16839892 | C2 | semidirect |
| 41. D8×C61 | Q8 | semidirect |
| 106. C61 | #3389 | semidirect |
| 138. D8 | Dic122 | semidirect |