Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063344 | C2 | semidirect |
| 2. #14583543 | C2 | semidirect |
| 3. #14583282 | C2 | semidirect |
| 4. #14583140 | C2 | semidirect |
| 5. #14583132 | C2 | semidirect |
| 6. #14583112 | C2 | semidirect |
| 7. #14583050 | C2 | semidirect |
| 8. #14583041 | C2 | semidirect |
| 9. D8×Dic43 | C2 | semidirect |
| 10. C8×C22⋊D43 | C2 | semidirect |
| 11. C22×D8×C43 | C2 | semidirect |
| 12. C2×#10621900 | C22 | semidirect |
| 14. C2×Dic172 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 17. C2×C8×D43 | C22 | semidirect |
| 18. #13063312 | C22 | semidirect |
| 22. #13063296 | C22 | semidirect |
| 24. D4×Dic43 | C22 | semidirect |
| 27. #13063259 | C22 | semidirect |
| 28. Dic43⋊C8 | C22 | semidirect |
| 29. #13063250 | C22 | semidirect |
| 30. #13063246 | C22 | semidirect |
| 31. #13063246 | C22 | semidirect |
| 33. (C2×D43)⋊C8 | C22 | semidirect |
| 34. C8×Dic43 | C22 | semidirect |
| 59. D8×C43 | D4 | semidirect |
| 123. C22×C43 | #135 | semidirect |
| 145. C22×D8 | D43 | semidirect |
| 155. C43 | #3280 | semidirect |
| 206. D8 | C22⋊D43 | semidirect |
| 270. C22 | #13063344 | semidirect |