Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 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 |
|---|---|---|
| 3. #14582854 | C2 | semidirect |
| 4. C2×#13063235 | C2 | semidirect |
| 5. #14582663 | C2 | semidirect |
| 6. #14582660 | C2 | semidirect |
| 12. #13063252 | C4 | semidirect |
| 13. #13063249 | C4 | semidirect |
| 14. #13063246 | C4 | semidirect |
| 20. #131×C43 | C4 | semidirect |
| 106. C43 | #1765 | semidirect |
| 109. #131 | Dic43 | semidirect |