Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16840134 | C2 | semidirect |
| 3. #16840108 | C2 | semidirect |
| 4. #16839959 | C2 | semidirect |
| 5. #16839913 | C2 | semidirect |
| 6. #16839815 | C2 | semidirect |
| 8. C2×#11758200 | C22 | semidirect |
| 9. #14519777 | C22 | semidirect |
| 10. #14519777 | C22 | semidirect |
| 15. C4×Dic122 | C22 | semidirect |
| 17. C4⋊#92418 | C22 | semidirect |
| 18. #14519698 | C22 | semidirect |
| 20. C4×#92418 | C22 | semidirect |
| 71. C2×C4×C61 | SD16 | semidirect |
| 112. C61 | #3208 | semidirect |
| 180. C2×C4 | #11758200 | semidirect |