Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583291 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583265 | C2 | semidirect |
| 5. #14583256 | C2 | semidirect |
| 6. #14583121 | C2 | semidirect |
| 7. #14583099 | C2 | semidirect |
| 8. #14583059 | C2 | semidirect |
| 9. #14583049 | C2 | semidirect |
| 10. #14582960 | C2 | semidirect |
| 11. C43×#541 | C2 | semidirect |
| 14. C2×#10621885 | C22 | semidirect |
| 17. C2×#10621884 | C22 | semidirect |
| 24. C4⋊(C43⋊C8) | C22 | semidirect |
| 25. #13063248 | C22 | semidirect |
| 28. #13063245 | C22 | semidirect |
| 30. #13063236 | C22 | semidirect |
| 31. C4×C43⋊C8 | C22 | semidirect |
| 32. C4⋊Q8×C43 | C22 | semidirect |
| 35. #125×C43 | C22 | semidirect |
| 37. C4×Q8×C43 | C22 | semidirect |
| 123. #541 | D43 | semidirect |
| 134. C43 | #3222 | semidirect |
| 141. C4⋊Q8 | C2×D43 | semidirect |
| 146. #125 | C2×D43 | semidirect |
| 152. C4×Q8 | C2×D43 | semidirect |