Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583475 | C2 | semidirect |
| 2. #14583286 | C2 | semidirect |
| 3. #14583271 | C2 | semidirect |
| 4. #14583269 | C2 | semidirect |
| 5. #14583256 | C2 | semidirect |
| 6. #14583114 | C2 | semidirect |
| 7. #14583104 | C2 | semidirect |
| 8. #14583042 | C2 | semidirect |
| 9. #14583037 | C2 | semidirect |
| 10. #14582960 | C2 | semidirect |
| 11. C43×#540 | C2 | semidirect |
| 121. #540 | D43 | semidirect |
| 132. C43 | #3221 | semidirect |