Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16838005 | C2 | semidirect |
| 2. #16837802 | C2 | semidirect |
| 3. #16837777 | C2 | semidirect |
| 4. #16837765 | C2 | semidirect |
| 5. #16837655 | C2 | semidirect |
| 6. #16837636 | C2 | semidirect |
| 7. #16837514 | C2 | semidirect |
| 8. #16837513 | C2 | semidirect |
| 9. #16837482 | C2 | semidirect |
| 10. #16837360 | C2 | semidirect |
| 11. C59×#469 | C2 | semidirect |
| 121. #469 | D59 | semidirect |
| 127. C59 | #3176 | semidirect |