Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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. C2×#13063358 | C2 | semidirect |
| 3. C2×#13063312 | C2 | semidirect |
| 4. #14583367 | C2 | semidirect |
| 5. #14583120 | C2 | semidirect |
| 6. #14583113 | C2 | semidirect |
| 7. #14582922 | C2 | semidirect |
| 8. #14582907 | C2 | semidirect |
| 9. C43×#418 | C2 | semidirect |
| 14. C2×Dic172 | C22 | semidirect |
| 15. C2×#10621873 | C22 | semidirect |
| 22. #13063290 | C22 | semidirect |
| 23. #13063287 | C22 | semidirect |
| 29. Dic43⋊C8 | C22 | semidirect |
| 30. #13063248 | C22 | semidirect |
| 134. #418 | D43 | semidirect |
| 135. C43 | #3040 | semidirect |