Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583456 | C2 | semidirect |
| 2. #14583294 | C2 | semidirect |
| 3. #14583258 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583055 | C2 | semidirect |
| 7. #14582956 | C2 | semidirect |
| 9. C2×#10621885 | C22 | semidirect |
| 11. #13063325 | C22 | semidirect |
| 12. #13063325 | C22 | semidirect |
| 17. C4×Dic86 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 20. #13063249 | C22 | semidirect |
| 23. #13063236 | C22 | semidirect |
| 121. C43 | #3215 | semidirect |