Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
448 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 3. C22×#10621885 | C2 | semidirect |
| 5. #14583173 | C2 | direct (N × H) |
| 6. C2×#13063260 | C2 | semidirect |
| 7. C2×#13063243 | C2 | semidirect |
| 8. C2×#101×C43 | C2 | semidirect |
| 20. C2×#10621885 | C22 | semidirect |
| 29. #13063260 | C22 | semidirect |
| 30. #13063243 | C22 | semidirect |
| 34. #101×C43 | C22 | semidirect |
| 131. C2×C43 | #473 | semidirect |
| 141. C2×#101 | D43 | semidirect |
| 142. C43 | C2×#473 | semidirect |
| 168. #101 | C2×D43 | semidirect |
| 265. C2 | #14583173 | direct (N × H) |