Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16837933 | C2 | semidirect |
| 2. C2×#14273716 | C2 | semidirect |
| 3. #16837783 | C2 | semidirect |
| 4. #16837758 | C2 | semidirect |
| 5. #16837627 | C2 | semidirect |
| 6. #16837619 | C2 | semidirect |
| 7. #16837558 | C2 | semidirect |
| 8. #16837555 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#448 | C2 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 17. #14273718 | C22 | semidirect |
| 22. #14273714 | C22 | semidirect |
| 25. #14273692 | C22 | semidirect |
| 27. D4×Dic59 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273651 | C22 | semidirect |
| 37. C8×Dic59 | C22 | semidirect |
| 39. C2×SD16×C59 | C22 | semidirect |
| 41. #103×C59 | C22 | semidirect |
| 152. #448 | D59 | semidirect |
| 155. C59 | #3211 | semidirect |
| 160. C2×SD16 | C2×D59 | semidirect |
| 181. #103 | C2×D59 | semidirect |