Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 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. #16840296 | C2 | semidirect |
| 2. #16840149 | C2 | semidirect |
| 3. #16840126 | C2 | semidirect |
| 4. #16839959 | C2 | semidirect |
| 5. #16839954 | C2 | semidirect |
| 6. #16839913 | C2 | semidirect |
| 7. #16839896 | C2 | semidirect |
| 8. #16839819 | C2 | semidirect |
| 9. C2×#127×C61 | C2 | semidirect |
| 10. C2×#11758200 | C22 | semidirect |
| 11. C2×#11758199 | C22 | semidirect |
| 13. #14519769 | C22 | semidirect |
| 14. #14519765 | C22 | semidirect |
| 18. C4×Dic122 | C22 | semidirect |
| 19. C4×D244 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519698 | C22 | semidirect |
| 24. #14519698 | C22 | semidirect |
| 26. #14519688 | C22 | semidirect |
| 128. C2×#127 | D61 | semidirect |
| 137. C61 | #3217 | semidirect |