Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14273755 | C2 | semidirect |
| 2. C2×#14273747 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837883 | C2 | semidirect |
| 5. #16837627 | C2 | semidirect |
| 6. #16837620 | C2 | semidirect |
| 7. #16837601 | C2 | semidirect |
| 8. #16837596 | C2 | semidirect |
| 9. #16837430 | C2 | semidirect |
| 10. C2×#14273647 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 16. C2×#11745672 | C22 | semidirect |
| 18. C2×#11745670 | C22 | semidirect |
| 19. C2×#11745671 | C22 | semidirect |
| 21. C2×#11745669 | C22 | semidirect |
| 28. #14273692 | C22 | semidirect |
| 29. #14273689 | C22 | semidirect |
| 34. Dic59⋊C8 | C22 | semidirect |
| 35. Dic59⋊C8 | C22 | semidirect |
| 41. #103×C59 | C22 | semidirect |
| 42. #102×C59 | C22 | semidirect |
| 56. #11745685 | D4 | semidirect |
| 164. #417 | D59 | semidirect |
| 166. C59 | #3045 | semidirect |
| 194. #103 | C2×D59 | semidirect |
| 197. #102 | C2×D59 | semidirect |