Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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×#13063358 | C2 | semidirect |
| 3. C2×#13063355 | C2 | semidirect |
| 4. #14583665 | C2 | semidirect |
| 5. #14583173 | C2 | semidirect |
| 6. #14583161 | C2 | semidirect |
| 7. #14582947 | C2 | semidirect |
| 8. C2×#13063243 | C2 | semidirect |
| 9. C43×#413 | C2 | semidirect |
| 22. C2×#10621885 | C22 | semidirect |
| 24. C2×#10621883 | C22 | semidirect |
| 30. #13063260 | C22 | semidirect |
| 31. #13063243 | C22 | semidirect |
| 35. #101×C43 | C22 | semidirect |
| 36. #100×C43 | C22 | semidirect |
| 150. #413 | D43 | semidirect |
| 152. C43 | #3069 | semidirect |
| 178. #101 | C2×D43 | semidirect |
| 179. #100 | C2×D43 | semidirect |