Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
752 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. C2×#13063355 | C2 | semidirect |
| 3. C22×#10621873 | C2 | semidirect |
| 4. #14583475 | C2 | semidirect |
| 5. #14583064 | C2 | semidirect |
| 6. #14583051 | C2 | semidirect |
| 7. #14582903 | C2 | semidirect |
| 8. #14582865 | C2 | semidirect |
| 9. C43×#416 | C2 | semidirect |
| 15. C22×Dic86 | C22 | semidirect |
| 21. C2×#10621885 | C22 | semidirect |
| 23. C2×#10621873 | C22 | semidirect |
| 24. C2×#10621883 | C22 | semidirect |
| 25. C2×#10621877 | C22 | semidirect |
| 29. #13063305 | C22 | semidirect |
| 30. #13063245 | C22 | semidirect |
| 31. (C2×D43)⋊C8 | C22 | semidirect |
| 33. C22×C8×C43 | C22 | semidirect |
| 34. #117×C43 | C22 | semidirect |
| 35. #103×C43 | C22 | semidirect |
| 36. #102×C43 | C22 | semidirect |
| 154. #416 | D43 | semidirect |
| 156. C43 | #3009 | semidirect |
| 174. C22×C8 | C2×D43 | semidirect |
| 179. #117 | C2×D43 | semidirect |
| 180. #103 | C2×D43 | semidirect |
| 182. #102 | C2×D43 | semidirect |