Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#13063260 | C2 | semidirect |
| 3. #14582926 | C2 | semidirect |
| 6. #14582654 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 20. #13063248 | C4 | semidirect |
| 21. #13063248 | C4 | semidirect |
| 22. #13063245 | C4 | semidirect |
| 23. #13063245 | C4 | semidirect |
| 115. #339 | D43 | semidirect |
| 117. C43 | #1866 | semidirect |