Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583456 | C2 | semidirect |
| 2. #14583258 | C2 | semidirect |
| 3. #14583253 | C2 | semidirect |
| 4. #14582908 | C2 | semidirect |
| 6. C4×#10621877 | C2 | semidirect |
| 9. #13063325 | C22 | semidirect |
| 10. #13063317 | C22 | semidirect |
| 14. #13063249 | C22 | semidirect |
| 16. #13063236 | C22 | semidirect |
| 17. C4×C43⋊C8 | C22 | semidirect |
| 91. C43 | #3140 | semidirect |