Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583433 | C2 | semidirect |
| 2. #14583286 | C2 | semidirect |
| 3. #14583263 | C2 | semidirect |
| 4. #14583096 | C2 | semidirect |
| 5. #14583091 | C2 | semidirect |
| 6. #14583050 | C2 | semidirect |
| 7. #14583033 | C2 | semidirect |
| 8. #14582956 | C2 | semidirect |
| 9. C2×#127×C43 | C2 | semidirect |
| 10. C2×#10621883 | C22 | semidirect |
| 11. C2×#10621882 | C22 | semidirect |
| 13. #13063317 | C22 | semidirect |
| 14. #13063313 | C22 | semidirect |
| 18. C4×Dic86 | C22 | semidirect |
| 19. C4×D172 | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063246 | C22 | semidirect |
| 24. #13063246 | C22 | semidirect |
| 26. #13063236 | C22 | semidirect |
| 128. C2×#127 | D43 | semidirect |
| 137. C43 | #3217 | semidirect |