Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
300 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #16840725 | C2 | semidirect |
| 4. C2×C8×#6923 | C2 | semidirect |
| 5. #16840637 | C2 | semidirect |
| 6. #16840634 | C2 | semidirect |
| 12. #14519842 | C4 | semidirect |
| 13. #14519841 | C4 | semidirect |
| 14. #14519840 | C4 | semidirect |
| 15. #14519839 | C4 | semidirect |
| 22. #14519785 | C4 | semidirect |
| 23. #14519784 | C4 | semidirect |
| 25. #14519783 | C4 | semidirect |
| 30. #131×C61 | C4 | semidirect |
| 135. C61 | #1764 | semidirect |
| 142. #131 | #6923 | semidirect |