Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583697 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. #14583666 | C2 | semidirect |
| 4. #14583167 | C2 | semidirect |
| 5. #14583160 | C2 | semidirect |
| 6. #14582947 | C2 | semidirect |
| 7. #14582881 | C2 | semidirect |
| 8. C2×#13063242 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 12. #13063355 | C22 | semidirect |
| 16. #13063350 | C22 | semidirect |
| 18. C2×#10621883 | C22 | semidirect |
| 19. C2×#10621882 | C22 | semidirect |
| 21. #13063332 | C22 | semidirect |
| 26. #13063260 | C22 | semidirect |
| 27. #13063243 | C22 | semidirect |
| 28. #13063242 | C22 | semidirect |
| 29. #13063241 | C22 | semidirect |
| 150. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 157. C43 | #3068 | semidirect |