Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16838033 | C2 | semidirect |
| 3. #16837765 | C2 | semidirect |
| 4. #16837763 | C2 | semidirect |
| 5. #16837758 | C2 | semidirect |
| 6. #16837747 | C2 | semidirect |
| 7. #16837408 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C2×#14273647 | C2 | semidirect |
| 10. #16837360 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 15. #14273726 | C22 | semidirect |
| 18. #14273718 | C22 | semidirect |
| 26. #14273651 | C22 | semidirect |
| 27. #14273651 | C22 | semidirect |
| 30. #14273648 | C22 | semidirect |
| 31. #14273648 | C22 | semidirect |
| 34. #14273637 | C22 | semidirect |
| 35. C8×Dic59 | C22 | semidirect |
| 39. #103×C59 | C22 | semidirect |
| 40. #102×C59 | C22 | semidirect |
| 143. #417 | D59 | semidirect |
| 147. C59 | #3136 | semidirect |
| 167. #103 | C2×D59 | semidirect |
| 174. #102 | C2×D59 | semidirect |