Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. C2×#14519810 | C2 | semidirect |
| 3. C2×#14519807 | C2 | semidirect |
| 4. #16840528 | C2 | semidirect |
| 5. #16840036 | C2 | semidirect |
| 6. #16840024 | C2 | semidirect |
| 7. #16839810 | C2 | semidirect |
| 8. C2×#14519695 | C2 | semidirect |
| 9. C61×#413 | C2 | semidirect |
| 22. C2×#11758202 | C22 | semidirect |
| 24. C2×#11758200 | C22 | semidirect |
| 30. #14519712 | C22 | semidirect |
| 31. #14519695 | C22 | semidirect |
| 35. #101×C61 | C22 | semidirect |
| 36. #100×C61 | C22 | semidirect |
| 150. #413 | D61 | semidirect |
| 152. C61 | #3069 | semidirect |
| 178. #101 | C2×D61 | semidirect |
| 179. #100 | C2×D61 | semidirect |