Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583298 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583267 | C2 | semidirect |
| 5. #14583265 | C2 | semidirect |
| 6. #14583147 | C2 | semidirect |
| 7. #14583130 | C2 | semidirect |
| 8. #14582997 | C2 | semidirect |
| 9. C4×#10621884 | C2 | semidirect |
| 10. #14582855 | C2 | semidirect |
| 11. C43×#541 | C2 | semidirect |
| 109. #541 | D43 | semidirect |
| 120. C43 | #3174 | semidirect |