Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#13063351 | C2 | semidirect |
| 2. #14583445 | C2 | semidirect |
| 3. C2×D4×Dic43 | C2 | semidirect |
| 4. #14583116 | C2 | semidirect |
| 5. #14583112 | C2 | semidirect |
| 6. #14583102 | C2 | semidirect |
| 7. #14583092 | C2 | semidirect |
| 8. #14582922 | C2 | semidirect |
| 9. #14582901 | C2 | semidirect |
| 10. #14582900 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 18. #13063323 | C22 | semidirect |
| 19. #13063321 | C22 | semidirect |
| 20. #13063314 | C22 | semidirect |
| 21. #13063312 | C22 | semidirect |
| 33. Dic43⋊C8 | C22 | semidirect |
| 34. Dic43⋊C8 | C22 | semidirect |
| 35. #13063250 | C22 | semidirect |
| 36. #13063249 | C22 | semidirect |
| 37. #13063247 | C22 | semidirect |
| 38. #13063246 | C22 | semidirect |
| 52. C2×D4×C43 | D4 | semidirect |
| 158. Dic43 | AGL(1,ℤ/8) | semidirect |
| 168. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 178. C43 | #3036 | semidirect |
| 226. C2×D4 | C22⋊D43 | semidirect |