Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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. C2×#14519756 | C2 | semidirect |
| 2. #16840103 | C2 | semidirect |
| 3. #16840090 | C2 | semidirect |
| 4. #16840073 | C2 | semidirect |
| 5. #16840001 | C2 | semidirect |
| 6. #16839989 | C2 | semidirect |
| 7. #16839924 | C2 | semidirect |
| 8. #16839917 | C2 | semidirect |
| 9. #16839900 | C2 | semidirect |
| 10. C2×C22⋊#92418 | C2 | semidirect |
| 13. C2×#11758202 | C22 | semidirect |
| 14. C2×#11758200 | C22 | semidirect |
| 23. #14519710 | C22 | semidirect |
| 24. #14519708 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 26. #14519700 | C22 | semidirect |
| 27. #14519700 | C22 | semidirect |
| 28. #14519698 | C22 | semidirect |
| 161. C61 | #3190 | semidirect |