Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063351 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583379 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583111 | C2 | semidirect |
| 6. #14583096 | C2 | semidirect |
| 7. #14583091 | C2 | semidirect |
| 8. #14582926 | C2 | semidirect |
| 9. #14582900 | C2 | semidirect |
| 10. C2×#13063246 | C2 | semidirect |
| 11. C43×#535 | C2 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 17. C2×#10621883 | C22 | semidirect |
| 18. C2×#10621884 | C22 | semidirect |
| 20. C2×#10621882 | C22 | semidirect |
| 23. C4×Dic86 | C22 | semidirect |
| 24. C4×D172 | C22 | semidirect |
| 29. C4⋊(C43⋊C8) | C22 | semidirect |
| 30. C4⋊(C43⋊C8) | C22 | semidirect |
| 31. #13063249 | C22 | semidirect |
| 34. #13063246 | C22 | semidirect |
| 60. #10621898 | D4 | semidirect |
| 157. #535 | D43 | semidirect |
| 166. C43 | #3045 | semidirect |