Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840245 | C2 | semidirect |
| 2. #16840083 | C2 | semidirect |
| 3. #16840083 | C2 | semidirect |
| 4. #16840078 | C2 | semidirect |
| 5. #16840073 | C2 | semidirect |
| 6. #16839805 | C2 | semidirect |
| 7. #16839798 | C2 | semidirect |
| 8. #16839767 | C2 | semidirect |
| 9. C2×#14519698 | C2 | semidirect |
| 10. #16839729 | C2 | semidirect |
| 18. #14519736 | C22 | semidirect |
| 20. C2×C4⋊Dic61 | 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 |
| 31. C22⋊#92418 | C22 | semidirect |
| 32. C22⋊#92418 | C22 | semidirect |
| 146. C61 | #3096 | semidirect |