Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583452 | C2 | semidirect |
| 3. #14583255 | C2 | semidirect |
| 4. #14583252 | C2 | semidirect |
| 5. #14583248 | C2 | semidirect |
| 6. #14583244 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. #14582893 | C2 | semidirect |
| 10. C2×C8×Dic43 | C2 | semidirect |
| 11. C43×#416 | C2 | semidirect |
| 135. #416 | D43 | semidirect |
| 137. C43 | #3131 | semidirect |