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×#13063333 | C2 | semidirect |
| 2. #14583477 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583149 | C2 | semidirect |
| 5. #14583142 | C2 | semidirect |
| 6. #14583132 | C2 | semidirect |
| 7. #14583125 | C2 | semidirect |
| 8. #14582941 | C2 | semidirect |
| 9. #14582895 | C2 | semidirect |
| 10. C2×#13063246 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 14. C2×#10621872 | C22 | semidirect |
| 16. C2×C8×D43 | C22 | semidirect |
| 20. #13063301 | C22 | semidirect |
| 25. #13063296 | C22 | semidirect |
| 29. #13063259 | C22 | semidirect |
| 30. #13063257 | C22 | semidirect |
| 31. #13063249 | C22 | semidirect |
| 32. #13063249 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 36. #13063246 | C22 | semidirect |
| 67. M16×C43 | D4 | semidirect |
| 152. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 163. C43 | #3062 | semidirect |
| 220. M16 | C22⋊D43 | semidirect |