Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
752 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#13063355 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. #14583470 | C2 | semidirect |
| 4. #14583061 | C2 | semidirect |
| 5. #14583050 | C2 | semidirect |
| 6. #14582904 | C2 | semidirect |
| 7. #14582895 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 10. C22×Dic86 | C22 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 16. C2×#10621877 | C22 | semidirect |
| 17. C22×C43⋊C8 | C22 | semidirect |
| 21. #13063304 | C22 | semidirect |
| 22. #13063284 | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 24. #13063246 | C22 | semidirect |
| 25. #13063246 | C22 | semidirect |
| 26. C22⋊(C43⋊C8) | C22 | semidirect |
| 156. C43 | #3009 | semidirect |