Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063356 | C2 | semidirect |
| 3. C2×#13063323 | C2 | semidirect |
| 4. #14583080 | C2 | direct (N × H) |
| 5. C2×#13063252 | C2 | semidirect |
| 6. C2×#13063251 | C2 | semidirect |
| 7. C2×#13063243 | C2 | semidirect |
| 8. C2×#137×C43 | C2 | semidirect |
| 21. #13063356 | C22 | semidirect |
| 26. #13063323 | C22 | semidirect |
| 29. #13063252 | C22 | semidirect |
| 30. #13063251 | C22 | semidirect |
| 31. #13063243 | C22 | semidirect |
| 35. #137×C43 | C22 | semidirect |
| 168. C2×C43 | #456 | semidirect |
| 173. C2×#137 | D43 | semidirect |
| 179. C43 | C2×#456 | semidirect |
| 196. #137 | C2×D43 | semidirect |
| 339. C2 | #14583080 | direct (N × H) |