Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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. C2×#13063304 | C2 | semidirect |
| 3. #14583061 | C2 | semidirect |
| 4. #14583055 | C2 | semidirect |
| 5. #14583050 | C2 | semidirect |
| 6. #14582900 | C2 | semidirect |
| 7. #14582863 | C2 | semidirect |
| 9. C22×Dic86 | C22 | semidirect |
| 11. C2×#10621885 | C22 | semidirect |
| 12. C2×#10621883 | C22 | semidirect |
| 13. C2×#10621877 | C22 | semidirect |
| 17. #13063304 | C22 | semidirect |
| 18. C2×C4⋊Dic43 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 22. #13063246 | C22 | semidirect |
| 24. C22⋊(C43⋊C8) | C22 | semidirect |
| 130. C22×C43 | #137 | semidirect |
| 155. C43 | #3007 | semidirect |
| 277. C22 | #13063355 | semidirect |