Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14583697 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C2×#13063350 | C2 | semidirect |
| 4. #14583169 | C2 | semidirect |
| 5. #14583162 | C2 | semidirect |
| 6. #14582948 | C2 | semidirect |
| 7. #14582881 | C2 | semidirect |
| 8. C2×#13063241 | C2 | semidirect |
| 9. C43×#568 | C2 | semidirect |
| 13. #13063355 | C22 | semidirect |
| 19. #13063350 | C22 | semidirect |
| 21. C2×#10621873 | C22 | semidirect |
| 23. C2×D344 | C22 | semidirect |
| 27. #13063261 | C22 | semidirect |
| 28. #13063243 | C22 | semidirect |
| 29. #13063241 | C22 | semidirect |
| 30. #13063241 | C22 | semidirect |
| 33. #131×C43 | C22 | semidirect |
| 151. #568 | D43 | semidirect |
| 157. C43 | #3068 | semidirect |
| 175. #131 | C2×D43 | semidirect |