Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583449 | C2 | semidirect |
| 2. #14583294 | C2 | semidirect |
| 3. #14583289 | C2 | semidirect |
| 4. #14583269 | C2 | semidirect |
| 5. #14583265 | C2 | semidirect |
| 6. #14583121 | C2 | semidirect |
| 7. #14583114 | C2 | semidirect |
| 8. #14583059 | C2 | semidirect |
| 9. #14583042 | C2 | semidirect |
| 10. #14582956 | C2 | semidirect |
| 11. C43×#529 | C2 | semidirect |
| 142. #529 | D43 | semidirect |
| 152. C43 | #3219 | semidirect |