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×#13063358 | C2 | semidirect |
| 3. C22×#10621883 | C2 | semidirect |
| 4. #14583475 | C2 | semidirect |
| 5. #14583062 | C2 | semidirect |
| 6. #14583051 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. #14582867 | C2 | semidirect |
| 9. C43×#418 | C2 | semidirect |
| 16. C22×Dic86 | C22 | semidirect |
| 21. C2×Dic172 | C22 | semidirect |
| 22. C2×#10621873 | C22 | semidirect |
| 24. C2×#10621883 | C22 | semidirect |
| 25. C22×C43⋊C8 | C22 | semidirect |
| 29. #13063305 | C22 | semidirect |
| 30. #13063248 | C22 | semidirect |
| 31. #13063245 | C22 | semidirect |
| 32. (C2×D43)⋊C8 | C22 | semidirect |
| 34. C2×M16×C43 | C22 | semidirect |
| 35. #117×C43 | C22 | semidirect |
| 36. #102×C43 | C22 | semidirect |
| 153. #418 | D43 | semidirect |
| 156. C43 | #3009 | semidirect |
| 173. C2×M16 | C2×D43 | semidirect |
| 179. #117 | C2×D43 | semidirect |
| 182. #102 | C2×D43 | semidirect |