Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C2×#13063312 | C2 | semidirect |
| 3. #41×Dic43 | C2 | semidirect |
| 4. #14583119 | C2 | semidirect |
| 5. #14583112 | C2 | semidirect |
| 6. #14582922 | C2 | semidirect |
| 7. #14582909 | C2 | semidirect |
| 8. #14582904 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 13. C2×#10621883 | C22 | semidirect |
| 18. Q8×Dic43 | C22 | semidirect |
| 20. D4×Dic43 | C22 | semidirect |
| 26. Dic43⋊C8 | C22 | semidirect |
| 27. #13063250 | C22 | semidirect |
| 135. C43 | #3040 | semidirect |