Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837784 | C2 | semidirect |
| 3. #16837759 | C2 | semidirect |
| 4. #16837612 | C2 | semidirect |
| 5. #16837607 | C2 | semidirect |
| 6. #16837602 | C2 | semidirect |
| 7. #16837597 | C2 | semidirect |
| 8. #16837562 | C2 | semidirect |
| 9. #16837545 | C2 | semidirect |
| 10. #16837455 | C2 | semidirect |
| 11. C59×#529 | C2 | semidirect |
| 146. #529 | D59 | semidirect |
| 156. C59 | #3212 | semidirect |