Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583463 | C2 | semidirect |
| 2. #14583223 | C2 | semidirect |
| 3. #14583220 | C2 | semidirect |
| 4. #14583150 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14583033 | C2 | semidirect |
| 7. #14583032 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 9. C43×#535 | C2 | semidirect |
| 10. C22×D172 | C22 | semidirect |
| 13. C2×#10621877 | C22 | semidirect |
| 14. C22×C43⋊C8 | C22 | semidirect |
| 18. #13063299 | C22 | semidirect |
| 21. #13063284 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063256 | C22 | semidirect |
| 24. #13063246 | C22 | semidirect |
| 25. #13063246 | C22 | semidirect |
| 26. #13063245 | C22 | semidirect |
| 27. #13063245 | C22 | semidirect |
| 28. C22⋊(C43⋊C8) | C22 | semidirect |
| 29. C22⋊(C43⋊C8) | C22 | semidirect |
| 31. C22×D4×C43 | C22 | semidirect |
| 35. #121×C43 | C22 | semidirect |
| 38. #117×C43 | C22 | semidirect |
| 146. #535 | D43 | semidirect |
| 154. C43 | #3199 | semidirect |
| 157. C22×D4 | C2×D43 | semidirect |
| 169. #121 | C2×D43 | semidirect |
| 175. #117 | C2×D43 | semidirect |