Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16837966 | C2 | semidirect |
| 2. #16837726 | C2 | semidirect |
| 3. #16837723 | C2 | semidirect |
| 4. #16837653 | C2 | semidirect |
| 5. #16837636 | C2 | semidirect |
| 6. #16837536 | C2 | semidirect |
| 7. #16837535 | C2 | semidirect |
| 8. #16837369 | C2 | semidirect |
| 9. C59×#535 | C2 | semidirect |
| 10. C22×D236 | C22 | semidirect |
| 13. C2×#11745664 | C22 | semidirect |
| 14. C22×C59⋊C8 | C22 | semidirect |
| 18. #14273701 | C22 | semidirect |
| 21. #14273686 | C22 | semidirect |
| 22. #14273660 | C22 | semidirect |
| 23. #14273658 | C22 | semidirect |
| 24. #14273648 | C22 | semidirect |
| 25. #14273648 | C22 | semidirect |
| 26. #14273647 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 28. C22⋊(C59⋊C8) | C22 | semidirect |
| 29. C22⋊(C59⋊C8) | C22 | semidirect |
| 31. C22×D4×C59 | C22 | semidirect |
| 35. #121×C59 | C22 | semidirect |
| 38. #117×C59 | C22 | semidirect |
| 146. #535 | D59 | semidirect |
| 154. C59 | #3199 | semidirect |
| 157. C22×D4 | C2×D59 | semidirect |
| 169. #121 | C2×D59 | semidirect |
| 175. #117 | C2×D59 | semidirect |