Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
444 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14583444 | C2 | semidirect |
| 2. C2×#13063314 | C2 | semidirect |
| 3. #14583285 | C2 | semidirect |
| 4. #14583260 | C2 | semidirect |
| 5. #14583117 | C2 | semidirect |
| 6. #14583116 | C2 | semidirect |
| 7. #14583038 | C2 | semidirect |
| 8. #14583035 | C2 | semidirect |
| 9. #14583032 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 14. C2×#10621884 | C22 | semidirect |
| 17. #13063324 | C22 | semidirect |
| 18. #13063321 | C22 | semidirect |
| 26. D4×Dic43 | C22 | semidirect |
| 27. #13063287 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063249 | C22 | semidirect |
| 37. #13063235 | C22 | semidirect |
| 39. C2×SD16×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 160. #448 | D43 | semidirect |
| 164. C43 | #3213 | semidirect |
| 169. C2×SD16 | C2×D43 | semidirect |
| 190. #103 | C2×D43 | semidirect |