Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#10621873 | C2 | semidirect |
| 3. C2×#13063312 | C2 | semidirect |
| 4. C2×#13063287 | C2 | semidirect |
| 5. #14583113 | C2 | direct (N × H) |
| 6. C2×Dic43⋊C8 | C2 | semidirect |
| 7. C2×#13063248 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 18. #13063312 | C22 | semidirect |
| 20. #13063287 | C22 | semidirect |
| 25. Dic43⋊C8 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 30. #102×C43 | C22 | semidirect |
| 119. C2×C43 | #463 | semidirect |
| 131. C2×#102 | D43 | semidirect |
| 132. C43 | C2×#463 | semidirect |
| 154. #102 | C2×D43 | semidirect |
| 243. C2 | #14583113 | direct (N × H) |