Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 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. #14583430 | C2 | semidirect |
| 2. C2×#13063314 | C2 | semidirect |
| 3. #14583280 | C2 | semidirect |
| 4. #14583255 | C2 | semidirect |
| 5. #14583124 | C2 | semidirect |
| 6. #14583116 | C2 | semidirect |
| 7. #14583055 | C2 | semidirect |
| 8. #14583052 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 13. C2×#10621885 | C22 | semidirect |
| 17. #13063316 | C22 | semidirect |
| 22. #13063312 | C22 | semidirect |
| 25. #13063290 | C22 | semidirect |
| 27. D4×Dic43 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063249 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 39. C2×SD16×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 152. #448 | D43 | semidirect |
| 155. C43 | #3211 | semidirect |
| 160. C2×SD16 | C2×D43 | semidirect |
| 181. #103 | C2×D43 | semidirect |