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. #14583433 | C2 | semidirect |
| 2. #14583291 | C2 | semidirect |
| 3. #14583286 | C2 | semidirect |
| 4. #14583267 | C2 | semidirect |
| 5. #14583263 | C2 | semidirect |
| 6. #14583118 | C2 | semidirect |
| 7. #14583111 | C2 | semidirect |
| 8. #14583061 | C2 | semidirect |
| 9. #14583044 | C2 | semidirect |
| 10. #14582956 | C2 | semidirect |
| 11. C43×#532 | C2 | semidirect |
| 141. #532 | D43 | semidirect |
| 152. C43 | #3219 | semidirect |