Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 2. C2×#13063316 | C2 | semidirect |
| 3. #14583266 | C2 | semidirect |
| 4. #14583262 | C2 | semidirect |
| 5. #14583255 | C2 | semidirect |
| 6. #14583252 | C2 | semidirect |
| 7. #14582901 | C2 | semidirect |
| 8. #14582900 | C2 | semidirect |
| 9. #14582898 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 156. #417 | D43 | semidirect |
| 158. C43 | #3142 | semidirect |