Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
764 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 764 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×#10621900 | C2 | semidirect |
| 2. C2×#13063344 | C2 | semidirect |
| 3. #14583409 | C2 | semidirect |
| 4. #14583062 | C2 | semidirect |
| 5. #14583057 | C2 | semidirect |
| 6. #14583050 | C2 | semidirect |
| 7. #14583041 | C2 | semidirect |
| 8. #14583037 | C2 | semidirect |
| 9. #14582892 | C2 | semidirect |
| 10. C22⋊C8×D43 | C2 | semidirect |
| 11. C43×#447 | C2 | semidirect |
| 17. C2×#10621900 | C22 | semidirect |
| 23. C2×Dic172 | C22 | semidirect |
| 24. C2×#10621883 | C22 | semidirect |
| 25. C2×#10621883 | C22 | semidirect |
| 26. C2×C8×D43 | C22 | semidirect |
| 28. #13063305 | C22 | semidirect |
| 30. #13063296 | C22 | semidirect |
| 34. #13063283 | C22 | semidirect |
| 35. #13063250 | C22 | semidirect |
| 36. #13063248 | C22 | semidirect |
| 37. #13063246 | C22 | semidirect |
| 39. (C2×D43)⋊C8 | C22 | semidirect |
| 41. C2×D8×C43 | C22 | semidirect |
| 43. #102×C43 | C22 | semidirect |
| 70. #10621900 | D4 | semidirect |
| 150. C22×C43 | #135 | semidirect |
| 184. #447 | D43 | semidirect |
| 187. C43 | #3002 | semidirect |
| 203. C2×D8 | C2×D43 | semidirect |
| 217. #102 | C2×D43 | semidirect |
| 333. C22 | #13063344 | semidirect |