Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#13063355 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. #14583376 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583096 | C2 | semidirect |
| 6. #14582926 | C2 | semidirect |
| 7. #14582904 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 18. C4×Dic86 | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 25. #13063246 | C22 | semidirect |
| 49. C2×Dic86 | D4 | semidirect |
| 126. C43 | #3043 | semidirect |