Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. #14583449 | C2 | semidirect |
| 2. #14583309 | C2 | semidirect |
| 3. #14583289 | C2 | semidirect |
| 4. #14583265 | C2 | semidirect |
| 5. #14583258 | C2 | semidirect |
| 6. #14583150 | C2 | semidirect |
| 7. #14583147 | C2 | semidirect |
| 8. C4×#10621884 | C2 | semidirect |
| 9. C4×#10621882 | C2 | semidirect |
| 10. C4×#10621877 | C2 | semidirect |
| 11. C43×#529 | C2 | semidirect |
| 110. C43⋊C8 | #41 | semidirect |
| 139. #529 | D43 | semidirect |
| 149. C43 | #3171 | semidirect |