Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#13063347 | C2 | semidirect |
| 2. #14583340 | C2 | semidirect |
| 3. #14583339 | C2 | semidirect |
| 4. #14583335 | C2 | semidirect |
| 5. #14583334 | C2 | semidirect |
| 6. #14583329 | C2 | semidirect |
| 7. C2×#13063265 | C2 | semidirect |
| 8. C2×#135×C43 | C2 | semidirect |
| 13. #13063347 | C22 | semidirect |
| 14. C2×Dic172 | C22 | semidirect |
| 16. C2×D344 | C22 | semidirect |
| 17. #13063271 | C22 | semidirect |
| 18. #13063269 | C22 | semidirect |
| 19. #13063268 | C22 | semidirect |
| 20. #13063266 | C22 | semidirect |
| 21. #13063265 | C22 | semidirect |
| 22. #13063265 | C22 | semidirect |
| 23. C2×C43⋊C16 | C22 | semidirect |
| 28. #135×C43 | C22 | semidirect |
| 29. C2×Q16×C43 | C22 | semidirect |
| 31. C2×D8×C43 | C22 | semidirect |
| 122. C2×#135 | D43 | semidirect |
| 129. C43 | #3414 | semidirect |
| 139. #135 | C2×D43 | semidirect |
| 141. C2×Q16 | C2×D43 | semidirect |
| 145. C2×D8 | C2×D43 | semidirect |