Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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. #16838056 | C2 | semidirect |
| 2. #16837798 | C2 | semidirect |
| 3. #16837726 | C2 | semidirect |
| 4. #16837718 | C2 | semidirect |
| 5. #16837689 | C2 | semidirect |
| 6. #16837682 | C2 | semidirect |
| 7. #16837653 | C2 | semidirect |
| 8. C4×#11745669 | C2 | semidirect |
| 9. #16837480 | C2 | semidirect |
| 10. #16837445 | C2 | semidirect |
| 11. C59×#555 | C2 | semidirect |
| 101. C59⋊C8 | #41 | semidirect |
| 128. #555 | D59 | semidirect |
| 139. C59 | #3354 | semidirect |