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×#13063345 | C2 | semidirect |
| 2. #14583466 | C2 | semidirect |
| 3. #14583382 | C2 | semidirect |
| 4. #14583119 | C2 | semidirect |
| 5. #14583112 | C2 | semidirect |
| 6. #14583097 | C2 | semidirect |
| 7. #14583092 | C2 | semidirect |
| 8. #14582927 | C2 | semidirect |
| 9. #14582901 | C2 | semidirect |
| 10. C2×#13063246 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 14. C2×#10621885 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 17. C2×#10621882 | C22 | semidirect |
| 24. Q8×Dic43 | C22 | semidirect |
| 26. D4×Dic43 | C22 | semidirect |
| 31. Dic43⋊C8 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 45. #41×C43 | D4 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 166. C43 | #3045 | semidirect |
| 202. #41 | C22⋊D43 | semidirect |