Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #16838200 | C2 | semidirect |
| 2. C2×#14273755 | C2 | semidirect |
| 3. C2×#14273752 | C2 | semidirect |
| 4. #16837672 | C2 | semidirect |
| 5. #16837665 | C2 | semidirect |
| 6. #16837451 | C2 | semidirect |
| 7. #16837384 | C2 | semidirect |
| 8. C2×#14273643 | C2 | semidirect |
| 9. C59×#568 | C2 | semidirect |
| 13. #14273757 | C22 | semidirect |
| 19. #14273752 | C22 | semidirect |
| 21. C2×#11745660 | C22 | semidirect |
| 23. C2×D472 | C22 | semidirect |
| 27. #14273663 | C22 | semidirect |
| 28. #14273645 | C22 | semidirect |
| 29. #14273643 | C22 | semidirect |
| 30. #14273643 | C22 | semidirect |
| 33. #131×C59 | C22 | semidirect |
| 151. #568 | D59 | semidirect |
| 157. C59 | #3068 | semidirect |
| 175. #131 | C2×D59 | semidirect |