Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063353 | C2 | semidirect |
| 2. C22×#10621882 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583373 | C2 | semidirect |
| 5. #14583113 | C2 | semidirect |
| 6. #14583093 | C2 | semidirect |
| 7. #14582927 | C2 | semidirect |
| 8. #14582893 | C2 | semidirect |
| 9. C43×#418 | C2 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 14. C2×D344 | C22 | semidirect |
| 18. #13063321 | C22 | semidirect |
| 19. #13063312 | C22 | semidirect |
| 23. #13063287 | C22 | semidirect |
| 26. Dic43⋊C8 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 28. #13063245 | C22 | semidirect |
| 32. #102×C43 | C22 | semidirect |
| 46. C2×D172 | D4 | semidirect |
| 129. #418 | D43 | semidirect |
| 131. C43 | #3041 | semidirect |
| 154. #102 | C2×D43 | semidirect |