Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#13063324 | C2 | semidirect |
| 3. #14583303 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583213 | C2 | semidirect |
| 6. #14583212 | C2 | semidirect |
| 7. #14583210 | C2 | semidirect |
| 8. #14583178 | C2 | semidirect |
| 9. #14583177 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#480 | C2 | semidirect |
| 145. #480 | D43 | semidirect |
| 149. C43 | #3226 | semidirect |