Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583269 | C2 | semidirect |
| 3. #14583261 | C2 | semidirect |
| 4. #14583256 | C2 | semidirect |
| 5. #14583251 | C2 | semidirect |
| 6. #14582907 | C2 | semidirect |
| 9. C2×#13063248 | C2 | semidirect |
| 10. #14582855 | C2 | semidirect |
| 11. C43×#544 | C2 | semidirect |
| 128. #544 | D43 | semidirect |
| 139. C43 | #3137 | semidirect |