Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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. C22×#10621882 | C2 | semidirect |
| 2. #14583463 | C2 | semidirect |
| 3. #14583374 | C2 | semidirect |
| 4. #14583116 | C2 | semidirect |
| 5. #14583092 | C2 | semidirect |
| 6. #14582927 | C2 | semidirect |
| 7. #14582905 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 14. #13063321 | C22 | semidirect |
| 15. #13063314 | C22 | semidirect |
| 19. D4×Dic43 | C22 | semidirect |
| 23. Dic43⋊C8 | C22 | semidirect |
| 24. #13063249 | C22 | semidirect |
| 25. #13063247 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 30. C2×SD16×C43 | C22 | semidirect |
| 31. C2×D8×C43 | C22 | semidirect |
| 41. C2×D4×C43 | D4 | semidirect |
| 122. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 131. C43 | #3041 | semidirect |
| 136. C2×SD16 | C2×D43 | semidirect |
| 139. C2×D8 | C2×D43 | semidirect |
| 168. C2×D4 | C22⋊D43 | semidirect |