Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10621882 | C2 | semidirect |
| 2. C2×#13063332 | C2 | semidirect |
| 3. #14583463 | C2 | semidirect |
| 4. #14583150 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14582935 | C2 | semidirect |
| 7. #14582904 | C2 | semidirect |
| 8. #14582903 | C2 | semidirect |
| 9. C43×#535 | C2 | semidirect |
| 16. C2×#10621877 | C22 | semidirect |
| 18. C22×C43⋊C8 | C22 | semidirect |
| 21. #13063299 | C22 | semidirect |
| 24. #13063258 | C22 | semidirect |
| 25. #13063256 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 27. #13063245 | C22 | semidirect |
| 32. #121×C43 | C22 | semidirect |
| 67. C2×C43⋊C8 | D4 | semidirect |
| 129. #535 | D43 | semidirect |
| 135. C43 | #3058 | semidirect |
| 152. #121 | C2×D43 | semidirect |