Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D61 | C2 | semidirect |
| 2. C2×#14519783 | C2 | semidirect |
| 3. #16840328 | C2 | semidirect |
| 4. #16840014 | C2 | semidirect |
| 5. #16840013 | C2 | semidirect |
| 6. #16839999 | C2 | semidirect |
| 7. #16839998 | C2 | semidirect |
| 8. #16839995 | C2 | semidirect |
| 9. #16839799 | C2 | semidirect |
| 10. #16839765 | C2 | semidirect |
| 11. C61×#466 | C2 | semidirect |
| 18. C2×#11758194 | C22 | semidirect |
| 20. C2×#11758189 | C22 | semidirect |
| 22. C2×C8×D61 | C22 | semidirect |
| 25. #14519752 | C22 | semidirect |
| 26. #14519751 | C22 | semidirect |
| 27. #14519748 | C22 | semidirect |
| 31. #14519711 | C22 | semidirect |
| 32. #14519708 | C22 | semidirect |
| 33. #14519699 | C22 | semidirect |
| 34. #14519698 | C22 | semidirect |
| 35. #14519697 | C22 | semidirect |
| 37. C22×C8×C61 | C22 | semidirect |
| 38. #121×C61 | C22 | semidirect |
| 39. #107×C61 | C22 | semidirect |
| 40. #102×C61 | C22 | semidirect |
| 80. C8×D61 | D4 | semidirect |
| 159. #466 | D61 | semidirect |
| 162. C61 | #3058 | semidirect |
| 175. C22×C8 | C2×D61 | semidirect |
| 181. #121 | C2×D61 | semidirect |
| 186. #107 | C2×D61 | semidirect |
| 191. #102 | C2×D61 | semidirect |