Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583451 | C2 | semidirect |
| 3. #14583270 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583098 | C2 | semidirect |
| 6. #14583097 | C2 | semidirect |
| 7. #14583052 | C2 | semidirect |
| 8. #14583050 | C2 | semidirect |
| 9. #14583049 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#450 | C2 | semidirect |
| 15. C2×#10621873 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 17. C2×#10621884 | C22 | semidirect |
| 18. #13063324 | C22 | semidirect |
| 19. #13063323 | C22 | semidirect |
| 27. Q8×Dic43 | C22 | semidirect |
| 29. #13063290 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 34. #13063246 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 39. C2×SD16×C43 | C22 | semidirect |
| 41. #102×C43 | C22 | semidirect |
| 111. C2×Dic43 | SD16 | semidirect |
| 161. #450 | D43 | semidirect |
| 163. C43 | #3208 | semidirect |
| 171. C2×SD16 | C2×D43 | semidirect |
| 191. #102 | C2×D43 | semidirect |