Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14582857 | C2 | semidirect |
| 4. C2×#13063236 | C2 | semidirect |
| 5. #14582663 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 9. #13063332 | C4 | semidirect |
| 16. #13063249 | C4 | semidirect |
| 17. #13063246 | C4 | semidirect |
| 24. #104×C43 | C4 | semidirect |
| 106. C43 | #1765 | semidirect |
| 118. #104 | Dic43 | semidirect |