Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583530 | C2 | semidirect |
| 3. #14583262 | C2 | semidirect |
| 4. #14583260 | C2 | semidirect |
| 5. #14583255 | C2 | semidirect |
| 6. #14583244 | C2 | semidirect |
| 7. #14582905 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C2×#13063245 | C2 | semidirect |
| 10. #14582857 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 15. #13063324 | C22 | semidirect |
| 18. #13063316 | C22 | semidirect |
| 26. #13063249 | C22 | semidirect |
| 27. #13063249 | C22 | semidirect |
| 30. #13063246 | C22 | semidirect |
| 31. #13063246 | C22 | semidirect |
| 34. #13063235 | C22 | semidirect |
| 35. C8×Dic43 | C22 | semidirect |
| 39. #103×C43 | C22 | semidirect |
| 40. #102×C43 | C22 | semidirect |
| 143. #417 | D43 | semidirect |
| 147. C43 | #3136 | semidirect |
| 167. #103 | C2×D43 | semidirect |
| 174. #102 | C2×D43 | semidirect |