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×#14519799 | C2 | semidirect |
| 3. #16840329 | C2 | semidirect |
| 4. #16840243 | C2 | semidirect |
| 5. #16839983 | C2 | semidirect |
| 6. #16839976 | C2 | semidirect |
| 7. #16839961 | C2 | semidirect |
| 8. #16839956 | C2 | semidirect |
| 9. #16839788 | C2 | semidirect |
| 10. #16839761 | C2 | semidirect |
| 11. C2×#102×C61 | C2 | semidirect |
| 16. C2×Dic244 | C22 | semidirect |
| 17. C2×#11758190 | C22 | semidirect |
| 18. C2×#11758190 | C22 | semidirect |
| 20. C2×D488 | C22 | semidirect |
| 28. #14519742 | C22 | semidirect |
| 29. #14519739 | C22 | semidirect |
| 34. #14519706 | C22 | semidirect |
| 35. #14519706 | C22 | semidirect |
| 36. #14519700 | C22 | semidirect |
| 37. #14519697 | C22 | semidirect |
| 57. #11758222 | D4 | semidirect |
| 165. C2×#102 | D61 | semidirect |
| 166. C61 | #3045 | semidirect |