Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14519756 | C2 | semidirect |
| 2. #16840092 | C2 | semidirect |
| 3. #16840078 | C2 | semidirect |
| 4. #16839989 | C2 | semidirect |
| 5. #16839913 | C2 | semidirect |
| 6. #16839900 | C2 | semidirect |
| 7. C2×C22⋊#92418 | C2 | semidirect |
| 9. C22×Dic122 | C22 | semidirect |
| 10. C2×#11758200 | C22 | semidirect |
| 11. C22×#92418 | C22 | semidirect |
| 15. #14519756 | C22 | semidirect |
| 16. C2×C4⋊Dic61 | C22 | semidirect |
| 19. #14519708 | C22 | semidirect |
| 20. #14519700 | C22 | semidirect |
| 21. #14519698 | C22 | semidirect |
| 23. C22⋊#92418 | C22 | semidirect |
| 73. C23×C61 | SD16 | semidirect |
| 138. C61 | #3187 | semidirect |
| 203. C23 | #11758200 | semidirect |