Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583452 | C2 | semidirect |
| 3. #14583257 | C2 | semidirect |
| 4. #14583252 | C2 | semidirect |
| 5. #14582909 | C2 | semidirect |
| 6. #14582907 | C2 | semidirect |
| 8. M16×Dic43 | C2 | semidirect |
| 12. #13063324 | C22 | semidirect |
| 13. #13063316 | C22 | semidirect |
| 22. #13063250 | C22 | semidirect |
| 23. #13063248 | C22 | semidirect |
| 25. #13063235 | C22 | semidirect |
| 26. C8×Dic43 | C22 | semidirect |
| 114. C43 | #3140 | semidirect |