Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 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×#14519805 | C2 | semidirect |
| 2. C22×#11758199 | C2 | semidirect |
| 3. #16840329 | C2 | semidirect |
| 4. #16840236 | C2 | semidirect |
| 5. #16839976 | C2 | semidirect |
| 6. #16839956 | C2 | semidirect |
| 7. #16839790 | C2 | semidirect |
| 8. #16839756 | C2 | semidirect |
| 9. C61×#418 | C2 | semidirect |
| 13. C2×#11758190 | C22 | semidirect |
| 14. C2×D488 | C22 | semidirect |
| 18. #14519773 | C22 | semidirect |
| 19. #14519764 | C22 | semidirect |
| 23. #14519739 | C22 | semidirect |
| 26. #14519706 | C22 | semidirect |
| 27. #14519700 | C22 | semidirect |
| 28. #14519697 | C22 | semidirect |
| 32. #102×C61 | C22 | semidirect |
| 46. C2×D244 | D4 | semidirect |
| 129. #418 | D61 | semidirect |
| 131. C61 | #3041 | semidirect |
| 154. #102 | C2×D61 | semidirect |