Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16840319 | C2 | semidirect |
| 2. #16840157 | C2 | semidirect |
| 3. #16840121 | C2 | semidirect |
| 4. #16839981 | C2 | semidirect |
| 5. #16839918 | C2 | semidirect |
| 7. #16839819 | C2 | semidirect |
| 9. C2×#11758202 | C22 | semidirect |
| 11. #14519777 | C22 | semidirect |
| 12. #14519777 | C22 | semidirect |
| 17. C4×Dic122 | C22 | semidirect |
| 19. C4⋊#92418 | C22 | semidirect |
| 20. #14519701 | C22 | semidirect |
| 23. #14519688 | C22 | semidirect |
| 121. C61 | #3215 | semidirect |