Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #16840560 | C2 | semidirect |
| 2. C2×#14519805 | C2 | semidirect |
| 3. C2×#14519802 | C2 | semidirect |
| 4. #16840032 | C2 | semidirect |
| 5. #16840025 | C2 | semidirect |
| 6. #16839811 | C2 | semidirect |
| 7. #16839744 | C2 | semidirect |
| 8. C2×#14519693 | C2 | semidirect |
| 9. C61×#568 | C2 | semidirect |
| 13. #14519807 | C22 | semidirect |
| 19. #14519802 | C22 | semidirect |
| 21. C2×#11758190 | C22 | semidirect |
| 23. C2×D488 | C22 | semidirect |
| 27. #14519713 | C22 | semidirect |
| 28. #14519695 | C22 | semidirect |
| 29. #14519693 | C22 | semidirect |
| 30. #14519693 | C22 | semidirect |
| 33. #131×C61 | C22 | semidirect |
| 151. #568 | D61 | semidirect |
| 157. C61 | #3068 | semidirect |
| 175. #131 | C2×D61 | semidirect |