Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
648 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 157 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×D344 | C2 | semidirect |
| 2. C22×#10621882 | C2 | semidirect |
| 3. C2×#13063321 | C2 | semidirect |
| 4. C2×#13063287 | C2 | semidirect |
| 5. #14583093 | C2 | direct (N × H) |
| 6. C2×Dic43⋊C8 | C2 | semidirect |
| 7. C2×#13063245 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 15. C2×D344 | C22 | semidirect |
| 17. C2×#10621882 | C22 | semidirect |
| 20. #13063321 | C22 | semidirect |
| 22. #13063287 | C22 | semidirect |
| 25. Dic43⋊C8 | C22 | semidirect |
| 26. #13063245 | C22 | semidirect |
| 30. #102×C43 | C22 | semidirect |
| 51. C2×D172 | D4 | semidirect |
| 92. C2×Dic43 | D8 | semidirect |
| 100. D172 | C2×D4 | semidirect |
| 125. Dic43 | C2×D8 | semidirect |
| 128. C2×C43 | #459 | semidirect |
| 141. C2×#102 | D43 | semidirect |
| 142. C43 | C2×#459 | semidirect |
| 164. #102 | C2×D43 | semidirect |
| 263. C2 | #14583093 | direct (N × H) |