Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#13063353 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583463 | C2 | semidirect |
| 4. #14583380 | C2 | semidirect |
| 5. #14583124 | C2 | semidirect |
| 6. #14583117 | C2 | semidirect |
| 7. #14583098 | C2 | semidirect |
| 8. #14583093 | C2 | semidirect |
| 9. #14582927 | C2 | semidirect |
| 10. C2×#13063245 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 16. C2×#10621885 | C22 | semidirect |
| 18. C2×#10621883 | C22 | semidirect |
| 19. C2×#10621884 | C22 | semidirect |
| 21. C2×#10621882 | C22 | semidirect |
| 28. #13063290 | C22 | semidirect |
| 29. #13063287 | C22 | semidirect |
| 34. Dic43⋊C8 | C22 | semidirect |
| 35. Dic43⋊C8 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 42. #102×C43 | C22 | semidirect |
| 56. #10621898 | D4 | semidirect |
| 164. #417 | D43 | semidirect |
| 166. C43 | #3045 | semidirect |
| 194. #103 | C2×D43 | semidirect |
| 197. #102 | C2×D43 | semidirect |