Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4⋊Dic43 | C2 | semidirect |
| 2. #14583232 | C2 | semidirect |
| 3. #14583227 | C2 | semidirect |
| 4. #14583215 | C2 | semidirect |
| 5. #14583210 | C2 | semidirect |
| 6. #14582942 | C2 | semidirect |
| 7. #14582900 | C2 | semidirect |
| 8. #14582863 | C2 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. #13063249 | C22 | semidirect |
| 21. #13063246 | C22 | semidirect |
| 140. C43 | #3092 | semidirect |