Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 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 |
|---|---|---|
| 1. C2×#13063317 | C2 | semidirect |
| 2. #14583298 | C2 | semidirect |
| 3. #14583253 | C2 | semidirect |
| 4. #14583232 | C2 | semidirect |
| 5. #14583227 | C2 | semidirect |
| 8. #14583206 | C2 | semidirect |
| 9. #14583199 | C2 | semidirect |
| 10. #14582952 | C2 | semidirect |
| 137. C43 | #3232 | semidirect |