Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14519805 | C2 | semidirect |
| 2. #16840340 | C2 | semidirect |
| 3. #16840326 | C2 | semidirect |
| 4. #16840015 | C2 | semidirect |
| 5. #16840008 | C2 | semidirect |
| 6. #16839998 | C2 | semidirect |
| 7. #16839991 | C2 | semidirect |
| 8. #16839804 | C2 | semidirect |
| 9. #16839759 | C2 | semidirect |
| 10. C2×#14519699 | C2 | semidirect |
| 11. C2×#131×C61 | C2 | semidirect |
| 19. #14519756 | C22 | semidirect |
| 23. #14519751 | C22 | semidirect |
| 29. #14519711 | C22 | semidirect |
| 30. #14519709 | C22 | semidirect |
| 31. #14519702 | C22 | semidirect |
| 32. #14519702 | C22 | semidirect |
| 35. #14519699 | C22 | semidirect |
| 36. #14519699 | C22 | semidirect |
| 40. C2×M16×C61 | C22 | semidirect |
| 42. C22×C8×C61 | C22 | semidirect |
| 66. M16×C61 | D4 | semidirect |
| 153. C2×#131 | D61 | semidirect |
| 163. C61 | #3062 | semidirect |
| 172. C2×M16 | C2×D61 | semidirect |
| 174. C22×C8 | C2×D61 | semidirect |
| 220. M16 | C22⋊D61 | semidirect |