Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583504 | C2 | semidirect |
| 2. #14583289 | C2 | semidirect |
| 3. #14583275 | C2 | semidirect |
| 4. #14583263 | C2 | semidirect |
| 5. #14583253 | C2 | semidirect |
| 6. #14583111 | C2 | semidirect |
| 7. #14583091 | C2 | semidirect |
| 8. #14583044 | C2 | semidirect |
| 9. #14583033 | C2 | semidirect |
| 10. #14582960 | C2 | semidirect |
| 11. C43×#535 | C2 | semidirect |
| 12. C2×#10621884 | C22 | semidirect |
| 15. C2×#10621882 | C22 | semidirect |
| 16. #13063322 | C22 | semidirect |
| 17. #13063317 | C22 | semidirect |
| 21. C4×D172 | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 28. #13063236 | C22 | semidirect |
| 29. C4×C43⋊C8 | C22 | semidirect |
| 130. #535 | D43 | semidirect |
| 140. C43 | #3220 | semidirect |