Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
398 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16840390 | C2 | semidirect |
| 2. #16840062 | C2 | semidirect |
| 3. #16840062 | C2 | semidirect |
| 4. #16840052 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 6. #16839805 | C2 | semidirect |
| 7. #16839798 | C2 | semidirect |
| 8. #16839789 | C2 | semidirect |
| 14. #14519777 | C22 | semidirect |
| 16. #14519769 | C22 | semidirect |
| 21. #14519710 | C22 | semidirect |
| 22. #14519710 | C22 | semidirect |
| 23. #14519710 | C22 | semidirect |
| 24. #14519708 | C22 | semidirect |
| 25. #14519708 | C22 | semidirect |
| 26. #14519708 | C22 | semidirect |
| 27. C4⋊#92418 | C22 | semidirect |
| 28. C4⋊#92418 | C22 | semidirect |
| 44. C2×D4×C61 | Q8 | semidirect |
| 136. C61 | #3081 | semidirect |
| 170. C2×D4 | Dic122 | semidirect |