Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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. C2×#14519807 | C2 | semidirect |
| 2. C22×#11758200 | C2 | semidirect |
| 3. #16840239 | C2 | semidirect |
| 4. #16839981 | C2 | semidirect |
| 5. #16839959 | C2 | semidirect |
| 6. #16839789 | C2 | semidirect |
| 7. #16839767 | C2 | semidirect |
| 8. #16839758 | C2 | semidirect |
| 12. C2×#11758202 | C22 | semidirect |
| 15. C2×#11758200 | C22 | semidirect |
| 18. C4×Dic122 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519701 | C22 | semidirect |
| 25. #14519698 | C22 | semidirect |
| 49. C2×Dic122 | D4 | semidirect |
| 126. C61 | #3043 | semidirect |