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×#13063351 | C2 | semidirect |
| 2. C2×#13063347 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583380 | C2 | semidirect |
| 5. #14583120 | C2 | semidirect |
| 6. #14583113 | C2 | semidirect |
| 7. #14583098 | C2 | semidirect |
| 8. #14583093 | C2 | semidirect |
| 9. #14582925 | C2 | semidirect |
| 10. #14582898 | C2 | semidirect |
| 11. C2×#102×C43 | C2 | semidirect |
| 16. C2×Dic172 | C22 | semidirect |
| 17. C2×#10621873 | C22 | semidirect |
| 18. C2×#10621873 | C22 | semidirect |
| 20. C2×D344 | C22 | semidirect |
| 28. #13063290 | C22 | semidirect |
| 29. #13063287 | C22 | semidirect |
| 34. Dic43⋊C8 | C22 | semidirect |
| 35. Dic43⋊C8 | C22 | semidirect |
| 36. #13063248 | C22 | semidirect |
| 37. #13063245 | C22 | semidirect |
| 57. #10621898 | D4 | semidirect |
| 165. C2×#102 | D43 | semidirect |
| 166. C43 | #3045 | semidirect |