Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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×#13063355 | C2 | semidirect |
| 2. C22×#10621885 | C2 | semidirect |
| 3. #14583470 | C2 | semidirect |
| 4. #14583061 | C2 | semidirect |
| 5. #14583055 | C2 | semidirect |
| 6. #14582908 | C2 | semidirect |
| 7. #14582895 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 150. C43 | #3011 | semidirect |