Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840497 | C2 | semidirect |
| 2. #16840485 | C2 | semidirect |
| 3. #16840146 | C2 | semidirect |
| 4. #16840135 | C2 | semidirect |
| 5. #16839985 | C2 | semidirect |
| 6. #16839978 | C2 | semidirect |
| 7. #16839973 | C2 | semidirect |
| 9. C4×#11758190 | C2 | semidirect |
| 10. C4×#11758190 | C2 | semidirect |
| 11. C8×Q8×C61 | C2 | semidirect |
| 134. C8×Q8 | D61 | semidirect |
| 137. C61 | #3394 | semidirect |