Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14519803 | C2 | semidirect |
| 2. C2×#14519783 | C2 | semidirect |
| 3. #16840343 | C2 | semidirect |
| 4. #16840329 | C2 | semidirect |
| 5. #16840014 | C2 | semidirect |
| 6. #16840007 | C2 | semidirect |
| 7. #16839997 | C2 | semidirect |
| 8. #16839990 | C2 | semidirect |
| 9. #16839802 | C2 | semidirect |
| 10. #16839759 | C2 | semidirect |
| 11. C2×#102×C61 | C2 | semidirect |
| 19. C2×#11758189 | C22 | semidirect |
| 20. C2×C8×D61 | C22 | semidirect |
| 24. #14519757 | C22 | semidirect |
| 26. #14519752 | C22 | semidirect |
| 32. #14519710 | C22 | semidirect |
| 33. #14519708 | C22 | semidirect |
| 34. #14519702 | C22 | semidirect |
| 35. #14519702 | C22 | semidirect |
| 36. #14519699 | C22 | semidirect |
| 37. #14519699 | C22 | semidirect |
| 81. #11758194 | D4 | semidirect |
| 162. C2×#102 | D61 | semidirect |
| 163. C61 | #3062 | semidirect |