Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #16840374 | C2 | semidirect |
| 2. #16840157 | C2 | semidirect |
| 3. #16840134 | C2 | semidirect |
| 4. #16840126 | C2 | semidirect |
| 5. #16840116 | C2 | semidirect |
| 6. #16839981 | C2 | semidirect |
| 7. #16839959 | C2 | semidirect |
| 8. #16839924 | C2 | semidirect |
| 9. #16839913 | C2 | semidirect |
| 10. #16839823 | C2 | semidirect |
| 12. C2×#11758202 | C22 | semidirect |
| 15. C2×#11758200 | C22 | semidirect |
| 16. #14519777 | C22 | semidirect |
| 18. #14519769 | C22 | semidirect |
| 21. C4×Dic122 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519701 | C22 | semidirect |
| 26. #14519698 | C22 | semidirect |
| 28. #14519688 | C22 | semidirect |
| 29. C4×#92418 | C22 | semidirect |
| 134. C61 | #3222 | semidirect |