Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
448 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 448 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. #14583451 | C2 | semidirect |
| 3. #14583229 | C2 | semidirect |
| 4. #14583188 | C2 | semidirect |
| 5. #14583103 | C2 | semidirect |
| 8. #14582986 | C2 | semidirect |
| 9. #14582984 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#483 | C2 | semidirect |
| 16. #13063324 | C22 | semidirect |
| 17. #13063323 | C22 | semidirect |
| 21. Q8×Dic43 | C22 | semidirect |
| 23. #13063290 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063248 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 40. #106×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 98. C2×Dic43 | SD16 | semidirect |
| 140. #483 | D43 | semidirect |
| 148. C43 | #3101 | semidirect |
| 171. #106 | C2×D43 | semidirect |
| 174. #103 | C2×D43 | semidirect |