Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#13063305 | C2 | semidirect |
| 3. #14583242 | C2 | semidirect |
| 4. #14583217 | C2 | semidirect |
| 5. #14583156 | C2 | semidirect |
| 6. #14583146 | C2 | semidirect |
| 7. #14583064 | C2 | semidirect |
| 8. #14583054 | C2 | semidirect |
| 9. #14583040 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#484 | C2 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 16. C2×#10621873 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063248 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 40. #107×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 153. #484 | D43 | semidirect |
| 161. C43 | #3196 | semidirect |
| 184. #107 | C2×D43 | semidirect |
| 188. #103 | C2×D43 | semidirect |