Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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. #14583470 | C2 | semidirect |
| 3. #14583082 | C2 | semidirect |
| 4. #14583077 | C2 | semidirect |
| 5. #14582916 | C2 | semidirect |
| 6. #14582883 | C2 | semidirect |
| 8. C22×Dic86 | C22 | semidirect |
| 10. #13063355 | C22 | semidirect |
| 13. C2×#10621877 | C22 | semidirect |
| 14. #13063323 | C22 | semidirect |
| 15. #13063312 | C22 | semidirect |
| 18. #13063284 | C22 | semidirect |
| 19. #13063252 | C22 | semidirect |
| 20. #13063244 | C22 | semidirect |
| 21. #13063242 | C22 | semidirect |
| 137. C43 | #3022 | semidirect |