Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 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. #14583433 | C2 | semidirect |
| 2. #14583305 | C2 | semidirect |
| 3. #14583286 | C2 | semidirect |
| 4. #14583263 | C2 | semidirect |
| 5. #14583261 | C2 | semidirect |
| 6. #14583133 | C2 | semidirect |
| 7. #14583126 | C2 | semidirect |
| 8. #14583009 | C2 | semidirect |
| 9. #14582999 | C2 | semidirect |
| 10. C2×#13063236 | C2 | semidirect |
| 11. C43×#532 | C2 | semidirect |
| 110. C43⋊C8 | #41 | semidirect |
| 138. #532 | D43 | semidirect |
| 149. C43 | #3180 | semidirect |