Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 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. #16840482 | C2 | semidirect |
| 2. #16840433 | C2 | semidirect |
| 3. #16840150 | C2 | semidirect |
| 4. #16840135 | C2 | semidirect |
| 5. #16839976 | C2 | semidirect |
| 6. #16839967 | C2 | semidirect |
| 7. #16839961 | C2 | semidirect |
| 8. #16839957 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 10. #16839861 | C2 | semidirect |
| 11. C4×D8×C61 | C2 | semidirect |
| 105. C8×C61 | #41 | semidirect |
| 143. C4×D8 | D61 | semidirect |
| 144. C61 | #3397 | semidirect |
| 239. C8 | #11758222 | semidirect |