Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
806 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 806 conjugacy classes of subgroups — too many to draw. Only its 153 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×#10621898 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. #14583042 | C2 | semidirect |
| 4. #14583037 | C2 | semidirect |
| 5. #14583032 | C2 | semidirect |
| 6. #14582898 | C2 | semidirect |
| 7. #14582863 | C2 | semidirect |
| 8. C2×#121×C43 | C2 | semidirect |
| 13. C2×#10621898 | C22 | semidirect |
| 14. C22×Dic86 | C22 | semidirect |
| 15. C22×D172 | C22 | semidirect |
| 19. C2×#10621883 | C22 | semidirect |
| 20. C2×#10621882 | C22 | semidirect |
| 21. C2×#10621877 | C22 | semidirect |
| 22. #13063248 | C22 | semidirect |
| 23. #13063245 | C22 | semidirect |
| 24. C22⋊(C43⋊C8) | C22 | semidirect |
| 25. C22⋊(C43⋊C8) | C22 | semidirect |
| 27. C22×D4×C43 | C22 | semidirect |
| 32. #121×C43 | C22 | semidirect |
| 33. C2×C4⋊C4×C43 | C22 | semidirect |
| 61. #10621898 | D4 | semidirect |
| 115. D172 | C2×D4 | semidirect |
| 120. Dic86 | C2×D4 | semidirect |
| 135. C22×C43 | AGL(1,ℤ/8) | semidirect |
| 158. C2×#121 | D43 | semidirect |
| 164. C43 | #3006 | semidirect |
| 174. C22×D4 | C2×D43 | semidirect |
| 184. #121 | C2×D43 | semidirect |
| 185. C2×C4⋊C4 | C2×D43 | semidirect |
| 295. C22 | #13063351 | semidirect |