Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
454 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 119 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. #16837933 | C2 | semidirect |
| 2. C2×#14273689 | C2 | semidirect |
| 3. #16837737 | C2 | semidirect |
| 4. #16837701 | C2 | semidirect |
| 5. #16837616 | C2 | semidirect |
| 6. #16837555 | C2 | semidirect |
| 8. #16837489 | C2 | semidirect |
| 9. #16837482 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#481 | C2 | semidirect |
| 17. #14273718 | C22 | semidirect |
| 18. #14273714 | C22 | semidirect |
| 21. #14273692 | C22 | semidirect |
| 23. D4×Dic59 | C22 | semidirect |
| 31. #14273660 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273650 | C22 | semidirect |
| 37. C8×Dic59 | C22 | semidirect |
| 40. #106×C59 | C22 | semidirect |
| 41. #102×C59 | C22 | semidirect |
| 144. #481 | D59 | semidirect |
| 152. C59 | #3105 | semidirect |
| 175. #106 | C2×D59 | semidirect |
| 180. #102 | C2×D59 | semidirect |