Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
406 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583571 | C2 | semidirect |
| 2. #14583289 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583111 | C2 | semidirect |
| 5. #14583101 | C2 | semidirect |
| 6. #14583099 | C2 | semidirect |
| 7. #14583094 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14582997 | C2 | semidirect |
| 10. C4×#10621882 | C2 | semidirect |
| 11. C43×#556 | C2 | semidirect |
| 106. C43⋊C8 | #41 | semidirect |
| 133. #556 | D43 | semidirect |
| 144. C43 | #3397 | semidirect |