Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14273752 | C2 | semidirect |
| 2. C2×#14273734 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837653 | C2 | semidirect |
| 5. #16837650 | C2 | semidirect |
| 6. #16837636 | C2 | semidirect |
| 7. #16837633 | C2 | semidirect |
| 8. #16837442 | C2 | semidirect |
| 9. #16837398 | C2 | semidirect |
| 10. C2×#14273647 | C2 | semidirect |
| 11. C59×#537 | C2 | semidirect |
| 18. C2×#11745664 | C22 | semidirect |
| 20. C22×C59⋊C8 | C22 | semidirect |
| 27. #14273660 | C22 | semidirect |
| 28. #14273658 | C22 | semidirect |
| 29. #14273651 | C22 | semidirect |
| 30. #14273651 | C22 | semidirect |
| 31. #14273648 | C22 | semidirect |
| 32. #14273648 | C22 | semidirect |
| 38. C22⋊Q8×C59 | C22 | semidirect |
| 41. #121×C59 | C22 | semidirect |
| 79. #11745664 | D4 | semidirect |
| 154. #537 | D59 | semidirect |
| 163. C59 | #3062 | semidirect |
| 178. C22⋊Q8 | C2×D59 | semidirect |
| 183. #121 | C2×D59 | semidirect |