Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 1. #16840562 | C2 | semidirect |
| 2. C2×#14519803 | C2 | semidirect |
| 3. C2×#14519803 | C2 | semidirect |
| 4. #16840528 | C2 | semidirect |
| 5. #16840031 | C2 | semidirect |
| 6. #16840024 | C2 | semidirect |
| 7. #16839810 | C2 | semidirect |
| 8. #16839744 | C2 | semidirect |
| 9. C2×#100×C61 | C2 | semidirect |
| 13. #14519810 | C22 | semidirect |
| 15. #14519805 | C22 | semidirect |
| 22. C2×#11758200 | C22 | semidirect |
| 24. C2×#11758199 | C22 | semidirect |
| 25. #14519785 | C22 | semidirect |
| 30. #14519712 | C22 | semidirect |
| 31. #14519695 | C22 | semidirect |
| 32. #14519693 | C22 | semidirect |
| 36. #100×C61 | C22 | semidirect |
| 156. C2×#100 | D61 | semidirect |
| 157. C61 | #3068 | semidirect |
| 184. #100 | C2×D61 | semidirect |