Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837952 | C2 | semidirect |
| 2. #16837812 | C2 | semidirect |
| 3. #16837792 | C2 | semidirect |
| 4. #16837768 | C2 | semidirect |
| 5. #16837761 | C2 | semidirect |
| 6. #16837636 | C2 | semidirect |
| 7. #16837633 | C2 | semidirect |
| 8. #16837512 | C2 | semidirect |
| 9. #16837500 | C2 | semidirect |
| 10. C2×#14273638 | C2 | semidirect |
| 11. C59×#529 | C2 | semidirect |
| 110. C59⋊C8 | #41 | semidirect |
| 139. #529 | D59 | semidirect |
| 149. C59 | #3180 | semidirect |