Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#13063356 | C2 | semidirect |
| 3. C22×#10621885 | C2 | semidirect |
| 4. #14583059 | C2 | semidirect |
| 5. #14583054 | C2 | semidirect |
| 6. #14582907 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 9. C43×#536 | C2 | semidirect |
| 144. #536 | D43 | semidirect |
| 150. C43 | #3011 | semidirect |