Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 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. #14583504 | C2 | semidirect |
| 2. #14583289 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583267 | C2 | semidirect |
| 5. #14583253 | C2 | semidirect |
| 6. #14583111 | C2 | semidirect |
| 7. #14583101 | C2 | semidirect |
| 8. #14583044 | C2 | semidirect |
| 9. #14583038 | C2 | semidirect |
| 10. #14582960 | C2 | semidirect |
| 11. C43×#536 | C2 | semidirect |
| 122. #536 | D43 | semidirect |
| 132. C43 | #3221 | semidirect |