Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 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. #14583237 | C2 | semidirect |
| 3. #14583223 | C2 | semidirect |
| 4. #14583147 | C2 | semidirect |
| 5. #14583130 | C2 | semidirect |
| 6. #14583049 | C2 | semidirect |
| 7. #14583038 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 9. C43×#536 | C2 | semidirect |
| 13. C2×#10621877 | C22 | semidirect |
| 14. C22×C43⋊C8 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063256 | C22 | semidirect |
| 24. #13063249 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 29. C22⋊(C43⋊C8) | C22 | semidirect |
| 31. C22×Q8×C43 | C22 | semidirect |
| 37. C22⋊Q8×C43 | C22 | semidirect |
| 38. #117×C43 | C22 | semidirect |
| 138. #536 | D43 | semidirect |
| 147. C43 | #3200 | semidirect |
| 149. C22×Q8 | C2×D43 | semidirect |
| 162. C22⋊Q8 | C2×D43 | semidirect |
| 168. #117 | C2×D43 | semidirect |