Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 2. #14583247 | C2 | semidirect |
| 3. #14583223 | C2 | semidirect |
| 4. #14583181 | C2 | semidirect |
| 5. #14583130 | C2 | semidirect |
| 6. #14583099 | C2 | semidirect |
| 7. #14583059 | C2 | semidirect |
| 8. C4×#10621885 | C2 | semidirect |
| 9. D4×C43⋊C8 | C2 | semidirect |
| 10. #14582893 | C2 | semidirect |
| 11. C43×#556 | C2 | semidirect |
| 128. #556 | D43 | semidirect |
| 139. C43 | #3304 | semidirect |