Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14519785 | C2 | semidirect |
| 2. #16840340 | C2 | semidirect |
| 3. #16840329 | C2 | semidirect |
| 4. #16840012 | C2 | semidirect |
| 5. #16840005 | C2 | semidirect |
| 6. #16839995 | C2 | semidirect |
| 7. #16839988 | C2 | semidirect |
| 8. #16839804 | C2 | semidirect |
| 9. #16839758 | C2 | semidirect |
| 10. C2×#14519698 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 14. C2×#11758189 | C22 | semidirect |
| 16. C2×C8×D61 | C22 | semidirect |
| 20. #14519753 | C22 | semidirect |
| 25. #14519748 | C22 | semidirect |
| 29. #14519711 | C22 | semidirect |
| 30. #14519709 | C22 | semidirect |
| 31. #14519701 | C22 | semidirect |
| 32. #14519701 | C22 | semidirect |
| 35. #14519698 | C22 | semidirect |
| 36. #14519698 | C22 | semidirect |
| 67. M16×C61 | D4 | semidirect |
| 152. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 163. C61 | #3062 | semidirect |
| 220. M16 | C22⋊D61 | semidirect |