Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#10621884 | C2 | semidirect |
| 3. #14583473 | C2 | semidirect |
| 4. #14583373 | C2 | semidirect |
| 5. #14583117 | C2 | semidirect |
| 6. #14583103 | C2 | semidirect |
| 7. #14582927 | C2 | semidirect |
| 8. #14582893 | C2 | semidirect |
| 9. C43×#419 | C2 | semidirect |
| 18. #13063323 | C22 | semidirect |
| 19. #13063314 | C22 | semidirect |
| 26. Dic43⋊C8 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 28. #13063245 | C22 | semidirect |
| 32. #103×C43 | C22 | semidirect |
| 124. #419 | D43 | semidirect |
| 126. C43 | #3042 | semidirect |
| 148. #103 | C2×D43 | semidirect |