Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16837947 | C2 | semidirect |
| 2. C2×#14273723 | C2 | semidirect |
| 3. #16837777 | C2 | semidirect |
| 4. #16837747 | C2 | semidirect |
| 5. #16837596 | C2 | semidirect |
| 6. #16837595 | C2 | semidirect |
| 7. #16837538 | C2 | semidirect |
| 8. #16837536 | C2 | semidirect |
| 9. #16837535 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#447 | C2 | semidirect |
| 16. C2×D472 | C22 | semidirect |
| 17. C2×#11745669 | C22 | semidirect |
| 18. C2×#11745669 | C22 | semidirect |
| 19. #14273726 | C22 | semidirect |
| 24. #14273723 | C22 | semidirect |
| 28. D4×Dic59 | C22 | semidirect |
| 29. #14273689 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273649 | C22 | semidirect |
| 34. #14273648 | C22 | semidirect |
| 35. #14273647 | C22 | semidirect |
| 37. C8×Dic59 | C22 | semidirect |
| 39. C2×D8×C59 | C22 | semidirect |
| 41. #102×C59 | C22 | semidirect |
| 117. C2×Dic59 | D8 | semidirect |
| 174. #447 | D59 | semidirect |
| 176. C59 | #3205 | semidirect |
| 185. C2×D8 | C2×D59 | semidirect |
| 204. #102 | C2×D59 | semidirect |