Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. #16837768 | C2 | semidirect |
| 3. #16837764 | C2 | semidirect |
| 4. #16837759 | C2 | semidirect |
| 5. #16837750 | C2 | semidirect |
| 6. #16837406 | C2 | semidirect |
| 7. #16837401 | C2 | semidirect |
| 8. #16837396 | C2 | semidirect |
| 9. C2×#14273647 | C2 | semidirect |
| 10. #16837358 | C2 | semidirect |
| 11. C59×#544 | C2 | semidirect |
| 21. #14273650 | C22 | semidirect |
| 22. #14273650 | C22 | semidirect |
| 23. #14273650 | C22 | semidirect |
| 28. #14273647 | C22 | semidirect |
| 29. #14273647 | C22 | semidirect |
| 30. #14273647 | C22 | semidirect |
| 31. #14273638 | C22 | semidirect |
| 32. C4×C59⋊C8 | C22 | semidirect |
| 34. C4⋊Q8×C59 | C22 | semidirect |
| 36. #125×C59 | C22 | semidirect |
| 136. #544 | D59 | semidirect |
| 147. C59 | #3136 | semidirect |
| 153. C4⋊Q8 | C2×D59 | semidirect |
| 156. #125 | C2×D59 | semidirect |