Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
430 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16837947 | C2 | semidirect |
| 2. #16837691 | C2 | semidirect |
| 3. #16837690 | C2 | semidirect |
| 4. #16837655 | C2 | semidirect |
| 5. #16837653 | C2 | semidirect |
| 6. #16837596 | C2 | semidirect |
| 7. #16837595 | C2 | semidirect |
| 8. #16837425 | C2 | semidirect |
| 9. C59×#469 | C2 | semidirect |
| 118. #469 | D59 | semidirect |
| 122. C59 | #3253 | semidirect |