Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583699 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C2×#13063353 | C2 | semidirect |
| 4. #14583665 | C2 | semidirect |
| 5. #14583170 | C2 | semidirect |
| 6. #14583163 | C2 | semidirect |
| 7. #14582881 | C2 | semidirect |
| 8. C2×#13063241 | C2 | semidirect |
| 9. C43×#430 | C2 | semidirect |
| 14. #13063358 | C22 | semidirect |
| 20. #13063353 | C22 | semidirect |
| 23. C2×#10621873 | C22 | semidirect |
| 25. C2×D344 | C22 | semidirect |
| 27. #13063331 | C22 | semidirect |
| 30. #13063243 | C22 | semidirect |
| 31. #13063241 | C22 | semidirect |
| 32. #13063241 | C22 | semidirect |
| 36. #108×C43 | C22 | semidirect |
| 154. #430 | D43 | semidirect |
| 157. C43 | #3068 | semidirect |
| 181. #108 | C2×D43 | semidirect |