Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063350 | C2 | semidirect |
| 2. C22×#10621882 | C2 | semidirect |
| 3. #14583373 | C2 | semidirect |
| 4. #14583111 | C2 | semidirect |
| 5. #14583091 | C2 | semidirect |
| 6. #14582926 | C2 | semidirect |
| 7. #14582904 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C43×#535 | C2 | semidirect |
| 12. C2×#10621884 | C22 | semidirect |
| 15. C2×#10621882 | C22 | semidirect |
| 18. C4×D172 | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 24. #13063246 | C22 | semidirect |
| 25. #13063246 | C22 | semidirect |
| 28. #127×C43 | C22 | semidirect |
| 29. #124×C43 | C22 | semidirect |
| 49. C2×D172 | D4 | semidirect |
| 124. #535 | D43 | semidirect |
| 131. C43 | #3041 | semidirect |
| 142. #127 | C2×D43 | semidirect |
| 143. #124 | C2×D43 | semidirect |