Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #14583511 | C2 | semidirect |
| 2. #14583294 | C2 | semidirect |
| 3. #14583271 | C2 | semidirect |
| 4. #14583263 | C2 | semidirect |
| 5. #14583253 | C2 | semidirect |
| 6. #14583118 | C2 | semidirect |
| 7. #14583096 | C2 | semidirect |
| 8. #14583061 | C2 | semidirect |
| 9. #14583050 | C2 | semidirect |
| 10. #14582960 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 16. #13063325 | C22 | semidirect |
| 18. #13063317 | C22 | semidirect |
| 21. C4×Dic86 | 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 |
| 134. C43 | #3222 | semidirect |