Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
292 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. C2×#13063235 | C2 | semidirect |
| 5. #14582663 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#405 | C2 | semidirect |
| 10. #13063331 | C4 | semidirect |
| 16. #13063251 | C4 | semidirect |
| 17. #13063248 | C4 | semidirect |
| 18. #13063245 | C4 | semidirect |
| 102. #405 | D43 | semidirect |
| 106. C43 | #1765 | semidirect |