Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #14583237 | C2 | semidirect |
| 3. #14583229 | C2 | semidirect |
| 4. #14583212 | C2 | semidirect |
| 5. #14583138 | C2 | semidirect |
| 6. #14583130 | C2 | semidirect |
| 7. #14583059 | C2 | semidirect |
| 8. #14583055 | C2 | semidirect |
| 9. #14583038 | C2 | semidirect |
| 10. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 11. C2×C22⋊Q8×C43 | C2 | semidirect |
| 13. C2×#10621885 | C22 | semidirect |
| 14. C2×#10621884 | C22 | semidirect |
| 25. #13063258 | C22 | semidirect |
| 26. #13063256 | C22 | semidirect |
| 27. #13063249 | C22 | semidirect |
| 28. #13063249 | C22 | semidirect |
| 29. #13063248 | C22 | semidirect |
| 30. #13063245 | C22 | semidirect |
| 151. C2×C22⋊Q8 | D43 | semidirect |
| 161. C43 | #3190 | semidirect |