Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583527 | C2 | semidirect |
| 2. #14583263 | C2 | semidirect |
| 3. #14583258 | C2 | semidirect |
| 4. #14583253 | C2 | semidirect |
| 5. #14583245 | C2 | semidirect |
| 6. #14582904 | C2 | semidirect |
| 7. #14582900 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C2×#13063246 | C2 | semidirect |
| 10. #14582855 | C2 | semidirect |
| 14. #13063325 | C22 | semidirect |
| 16. #13063317 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 22. #13063249 | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 28. #13063246 | C22 | semidirect |
| 29. #13063246 | C22 | semidirect |
| 30. #13063246 | C22 | semidirect |
| 31. #13063236 | C22 | semidirect |
| 32. C4×C43⋊C8 | C22 | semidirect |
| 147. C43 | #3136 | semidirect |