Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14273755 | C2 | semidirect |
| 2. C2×#14273752 | C2 | semidirect |
| 3. #16837948 | C2 | semidirect |
| 4. C2×#14273689 | C2 | semidirect |
| 5. #16837620 | C2 | semidirect |
| 6. #16837616 | C2 | semidirect |
| 7. #16837606 | C2 | semidirect |
| 8. #16837596 | C2 | semidirect |
| 9. #16837425 | C2 | semidirect |
| 10. #16837401 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 22. #14273725 | C22 | semidirect |
| 23. #14273723 | C22 | semidirect |
| 24. #14273716 | C22 | semidirect |
| 25. #14273714 | C22 | semidirect |
| 36. Dic59⋊C8 | C22 | semidirect |
| 37. Dic59⋊C8 | C22 | semidirect |
| 38. #14273650 | C22 | semidirect |
| 39. #14273647 | C22 | semidirect |
| 43. #103×C59 | C22 | semidirect |
| 44. #102×C59 | C22 | semidirect |
| 63. C2×D236 | D4 | semidirect |
| 158. Dic59 | AGL(1,ℤ/8) | semidirect |
| 177. #417 | D59 | semidirect |
| 178. C59 | #3036 | semidirect |
| 209. #103 | C2×D59 | semidirect |
| 211. #102 | C2×D59 | semidirect |