Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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×#13063351 | C2 | semidirect |
| 2. C2×#13063332 | C2 | semidirect |
| 3. #14583477 | C2 | semidirect |
| 4. #14583150 | C2 | semidirect |
| 5. #14583143 | C2 | semidirect |
| 6. #14583133 | C2 | semidirect |
| 7. #14583126 | C2 | semidirect |
| 8. #14582942 | C2 | semidirect |
| 9. #14582893 | C2 | semidirect |
| 10. C2×#13063246 | C2 | semidirect |
| 11. C43×#535 | C2 | semidirect |
| 18. C2×#10621877 | C22 | semidirect |
| 20. C22×C43⋊C8 | C22 | semidirect |
| 21. #13063304 | C22 | semidirect |
| 23. #13063299 | C22 | semidirect |
| 27. #13063258 | C22 | semidirect |
| 28. #13063256 | C22 | semidirect |
| 29. #13063248 | C22 | semidirect |
| 30. #13063248 | C22 | semidirect |
| 33. #13063245 | C22 | semidirect |
| 34. #13063245 | C22 | semidirect |
| 79. #10621877 | D4 | semidirect |
| 155. #535 | D43 | semidirect |
| 163. C43 | #3062 | semidirect |