Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14582922 | C2 | semidirect |
| 5. C4×Dic43⋊C4 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 10. #13063290 | C4 | semidirect |
| 11. #13063290 | C4 | semidirect |
| 12. #13063287 | C4 | semidirect |
| 13. #13063287 | C4 | semidirect |
| 95. D172 | C4⋊C4 | semidirect |
| 101. Dic86 | C4⋊C4 | semidirect |
| 124. Dic43 | #104 | semidirect |
| 138. #339 | D43 | semidirect |
| 139. C43 | #1806 | semidirect |