Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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. #16840485 | C2 | semidirect |
| 2. #16840472 | C2 | semidirect |
| 3. #16840117 | C2 | semidirect |
| 4. #16840113 | C2 | semidirect |
| 5. #16840070 | C2 | semidirect |
| 6. #16840053 | C2 | semidirect |
| 8. #16839968 | C2 | semidirect |
| 9. C4×#11758190 | C2 | semidirect |
| 11. C8×Q8×C61 | C2 | semidirect |
| 129. C8×Q8 | D61 | semidirect |
| 132. C61 | #3360 | semidirect |