Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
792 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 229 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×C8×D43 | C2 | semidirect |
| 3. C2×#13063283 | C2 | semidirect |
| 4. #14582892 | C2 | direct (N × H) |
| 5. C2×#13063250 | C2 | semidirect |
| 6. C2×#13063248 | C2 | semidirect |
| 7. C2×#13063246 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 11. C2×#10621900 | C4 | semidirect |
| 19. C2×C8×D43 | C22 | semidirect |
| 21. #13063283 | C22 | semidirect |
| 25. #13063250 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 27. #13063246 | C22 | semidirect |
| 31. #102×C43 | C22 | semidirect |
| 49. #10621900 | C2×C4 | semidirect |
| 124. C2×C43 | #416 | semidirect |
| 136. C2×#102 | D43 | semidirect |
| 137. C43 | C2×#416 | semidirect |
| 160. #102 | C2×D43 | semidirect |
| 253. C2 | #14582892 | direct (N × H) |