Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. C2×#13063358 | C2 | semidirect |
| 3. #14583470 | C2 | semidirect |
| 4. #14583084 | C2 | semidirect |
| 5. #14583079 | C2 | semidirect |
| 6. #14582915 | C2 | semidirect |
| 7. C43×#413 | C2 | semidirect |
| 16. C22×Dic86 | C22 | semidirect |
| 18. #13063358 | C22 | semidirect |
| 21. #13063323 | C22 | semidirect |
| 22. #13063312 | C22 | semidirect |
| 25. #13063284 | C22 | semidirect |
| 26. #13063251 | C22 | semidirect |
| 28. C2×M16×C43 | C22 | semidirect |
| 29. #101×C43 | C22 | semidirect |
| 30. #100×C43 | C22 | semidirect |
| 136. #413 | D43 | semidirect |
| 137. C43 | #3022 | semidirect |
| 152. C2×M16 | C2×D43 | semidirect |
| 159. #101 | C2×D43 | semidirect |
| 160. #100 | C2×D43 | semidirect |