Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
450 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583433 | C2 | semidirect |
| 2. #14583229 | C2 | semidirect |
| 3. #14583212 | C2 | semidirect |
| 4. #14583199 | C2 | semidirect |
| 5. #14583114 | C2 | semidirect |
| 6. #14583050 | C2 | semidirect |
| 8. #14583009 | C2 | semidirect |
| 9. #14582999 | C2 | semidirect |
| 10. #14582956 | C2 | semidirect |
| 11. C2×C4×D4×C43 | C2 | semidirect |
| 15. #13063317 | C22 | semidirect |
| 16. #13063313 | C22 | semidirect |
| 20. C4×Dic86 | C22 | semidirect |
| 21. C4×D172 | C22 | semidirect |
| 24. #13063258 | C22 | semidirect |
| 25. #13063256 | C22 | semidirect |
| 26. C4⋊(C43⋊C8) | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 30. #13063245 | C22 | semidirect |
| 33. #13063236 | C22 | semidirect |
| 142. C2×C4×D4 | D43 | semidirect |
| 152. C43 | #3114 | semidirect |