Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 1. #14583699 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. C2×#13063351 | C2 | semidirect |
| 4. #14583665 | C2 | semidirect |
| 5. #14583168 | C2 | semidirect |
| 6. #14583161 | C2 | semidirect |
| 7. #14582947 | C2 | semidirect |
| 8. #14582881 | C2 | semidirect |
| 9. C2×#100×C43 | C2 | semidirect |
| 13. #13063358 | C22 | semidirect |
| 15. #13063353 | C22 | semidirect |
| 22. C2×#10621883 | C22 | semidirect |
| 24. C2×#10621882 | C22 | semidirect |
| 25. #13063333 | C22 | semidirect |
| 30. #13063260 | C22 | semidirect |
| 31. #13063243 | C22 | semidirect |
| 32. #13063241 | C22 | semidirect |
| 36. #100×C43 | C22 | semidirect |
| 156. C2×#100 | D43 | semidirect |
| 157. C43 | #3068 | semidirect |
| 184. #100 | C2×D43 | semidirect |