Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583444 | C2 | semidirect |
| 2. C2×#13063321 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583093 | C2 | semidirect |
| 6. #14583092 | C2 | semidirect |
| 7. #14583035 | C2 | semidirect |
| 8. #14583033 | C2 | semidirect |
| 9. #14583032 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#447 | C2 | semidirect |
| 16. C2×D344 | C22 | semidirect |
| 17. C2×#10621882 | C22 | semidirect |
| 18. C2×#10621882 | C22 | semidirect |
| 19. #13063324 | C22 | semidirect |
| 24. #13063321 | C22 | semidirect |
| 28. D4×Dic43 | C22 | semidirect |
| 29. #13063287 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 34. #13063246 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 39. C2×D8×C43 | C22 | semidirect |
| 41. #102×C43 | C22 | semidirect |
| 117. C2×Dic43 | D8 | semidirect |
| 174. #447 | D43 | semidirect |
| 176. C43 | #3205 | semidirect |
| 185. C2×D8 | C2×D43 | semidirect |
| 204. #102 | C2×D43 | semidirect |