Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840242 | C2 | semidirect |
| 3. #16840085 | C2 | semidirect |
| 4. #16840084 | C2 | semidirect |
| 5. #16840079 | C2 | semidirect |
| 6. #16840074 | C2 | semidirect |
| 7. #16839804 | C2 | semidirect |
| 8. #16839798 | C2 | semidirect |
| 9. C2×#14519698 | C2 | semidirect |
| 10. #16839730 | C2 | semidirect |
| 11. C61×#418 | C2 | semidirect |
| 23. #14519735 | C22 | semidirect |
| 25. C4⋊C4×D61 | C22 | semidirect |
| 26. #14519711 | C22 | semidirect |
| 27. #14519710 | C22 | semidirect |
| 28. #14519710 | C22 | semidirect |
| 29. #14519709 | C22 | semidirect |
| 30. #14519708 | C22 | semidirect |
| 31. #14519708 | C22 | semidirect |
| 34. #14519689 | C22 | semidirect |
| 35. #14519689 | C22 | semidirect |
| 143. #418 | D61 | semidirect |
| 146. C61 | #3096 | semidirect |