Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#13063353 | C2 | semidirect |
| 2. C2×#13063350 | C2 | semidirect |
| 3. #14583445 | C2 | semidirect |
| 4. C2×#13063287 | C2 | semidirect |
| 5. #14583117 | C2 | semidirect |
| 6. #14583113 | C2 | semidirect |
| 7. #14583103 | C2 | semidirect |
| 8. #14583093 | C2 | semidirect |
| 9. #14582922 | C2 | semidirect |
| 10. #14582898 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 22. #13063323 | C22 | semidirect |
| 23. #13063321 | C22 | semidirect |
| 24. #13063314 | C22 | semidirect |
| 25. #13063312 | C22 | semidirect |
| 36. Dic43⋊C8 | C22 | semidirect |
| 37. Dic43⋊C8 | C22 | semidirect |
| 38. #13063248 | C22 | semidirect |
| 39. #13063245 | C22 | semidirect |
| 43. #103×C43 | C22 | semidirect |
| 44. #102×C43 | C22 | semidirect |
| 63. C2×D172 | D4 | semidirect |
| 158. Dic43 | AGL(1,ℤ/8) | semidirect |
| 177. #417 | D43 | semidirect |
| 178. C43 | #3036 | semidirect |
| 209. #103 | C2×D43 | semidirect |
| 211. #102 | C2×D43 | semidirect |