Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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×#10621883 | C2 | semidirect |
| 2. #14583470 | C2 | semidirect |
| 3. #14583374 | C2 | semidirect |
| 4. #14583112 | C2 | semidirect |
| 5. #14583102 | C2 | semidirect |
| 6. #14582927 | C2 | semidirect |
| 7. #14582909 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 14. #13063323 | C22 | semidirect |
| 15. #13063312 | C22 | semidirect |
| 23. Dic43⋊C8 | C22 | semidirect |
| 24. #13063250 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 126. C43 | #3042 | semidirect |