Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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×#13063349 | C2 | semidirect |
| 2. #14583544 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14583146 | C2 | semidirect |
| 5. #14583114 | C2 | semidirect |
| 6. #14583062 | C2 | semidirect |
| 7. #14583034 | C2 | semidirect |
| 8. #14582978 | C2 | semidirect |
| 9. C4×D8×C43 | C2 | semidirect |
| 11. C2×D4×D43 | C22 | semidirect |
| 13. C2×Dic172 | C22 | semidirect |
| 14. C2×#10621873 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 18. C2×#10621872 | C22 | semidirect |
| 19. #13063313 | C22 | semidirect |
| 21. #13063305 | C22 | semidirect |
| 27. C4⋊(C43⋊C8) | C22 | semidirect |
| 28. #13063248 | C22 | semidirect |
| 29. #13063245 | C22 | semidirect |
| 30. (C2×D43)⋊C8 | C22 | semidirect |
| 32. C4×D4×C43 | C22 | semidirect |
| 33. #107×C43 | C22 | semidirect |
| 34. #102×C43 | C22 | semidirect |
| 35. C4×C8×C43 | C22 | semidirect |
| 51. D8×C43 | D4 | semidirect |
| 132. C4×D8 | D43 | semidirect |
| 134. C43 | #3273 | semidirect |
| 152. C4×D4 | C2×D43 | semidirect |
| 154. #107 | C2×D43 | semidirect |
| 158. #102 | C2×D43 | semidirect |
| 160. C4×C8 | C2×D43 | semidirect |
| 181. D8 | D172 | semidirect |