Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×D472 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837876 | C2 | semidirect |
| 5. #16837620 | C2 | semidirect |
| 6. #16837596 | C2 | semidirect |
| 7. #16837428 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C59×#416 | C2 | semidirect |
| 13. C2×#11745671 | C22 | semidirect |
| 16. C2×#11745669 | C22 | semidirect |
| 18. #14273723 | C22 | semidirect |
| 19. #14273716 | C22 | semidirect |
| 23. #14273689 | C22 | semidirect |
| 26. Dic59⋊C8 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 31. #103×C59 | C22 | semidirect |
| 32. #102×C59 | C22 | semidirect |
| 48. C2×D236 | D4 | semidirect |
| 130. #416 | D59 | semidirect |
| 131. C59 | #3041 | semidirect |
| 152. #103 | C2×D59 | semidirect |
| 154. #102 | C2×D59 | semidirect |