Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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. C2×#14519756 | C2 | semidirect |
| 3. #16839924 | C2 | semidirect |
| 4. #16839918 | C2 | semidirect |
| 5. #16839913 | C2 | semidirect |
| 6. #16839763 | C2 | semidirect |
| 7. #16839726 | C2 | semidirect |
| 9. C22×Dic122 | C22 | semidirect |
| 11. C2×#11758202 | C22 | semidirect |
| 12. C2×#11758200 | C22 | semidirect |
| 13. C2×#11758194 | C22 | semidirect |
| 17. #14519756 | C22 | semidirect |
| 18. C2×C4⋊Dic61 | C22 | semidirect |
| 21. #14519701 | C22 | semidirect |
| 22. #14519698 | C22 | semidirect |
| 24. C22⋊#92418 | C22 | semidirect |
| 130. C22×C61 | #137 | semidirect |
| 155. C61 | #3007 | semidirect |
| 277. C22 | #14519807 | semidirect |