Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #16840490 | C2 | semidirect |
| 3. #16840135 | C2 | semidirect |
| 4. #16840133 | C2 | semidirect |
| 5. #16839967 | C2 | semidirect |
| 6. #16839966 | C2 | semidirect |
| 7. #16839962 | C2 | semidirect |
| 8. #16839961 | C2 | semidirect |
| 9. C8×Dic122 | C2 | semidirect |
| 10. #16839849 | C2 | semidirect |
| 11. C4×SD16×C61 | C2 | semidirect |
| 102. Dic122 | SD16 | semidirect |
| 104. C8×C61 | #41 | semidirect |
| 139. C4×SD16 | D61 | semidirect |
| 140. C61 | #3392 | semidirect |
| 234. C8 | #11758222 | semidirect |