Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#13063299 | C2 | semidirect |
| 2. #14583232 | C2 | semidirect |
| 3. #14583223 | C2 | semidirect |
| 4. #14583215 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14583130 | C2 | semidirect |
| 7. #14583049 | C2 | semidirect |
| 8. #14583044 | C2 | semidirect |
| 9. #14583032 | C2 | semidirect |
| 10. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 11. C43×#525 | C2 | semidirect |
| 14. C2×#10621884 | C22 | semidirect |
| 15. C2×#10621882 | C22 | semidirect |
| 16. C22×C43⋊C8 | C22 | semidirect |
| 23. #13063258 | C22 | semidirect |
| 24. #13063256 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 27. #13063245 | C22 | semidirect |
| 28. #13063245 | C22 | semidirect |
| 31. C22⋊(C43⋊C8) | C22 | semidirect |
| 32. C2×#41×C43 | C22 | semidirect |
| 36. C22⋊Q8×C43 | C22 | semidirect |
| 38. #121×C43 | C22 | semidirect |
| 42. #117×C43 | C22 | semidirect |
| 159. #525 | D43 | semidirect |
| 170. C43 | #3188 | semidirect |
| 171. C2×#41 | C2×D43 | semidirect |
| 180. C22⋊Q8 | C2×D43 | semidirect |
| 186. #121 | C2×D43 | semidirect |
| 190. #117 | C2×D43 | semidirect |