Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 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. C2×#13063351 | C2 | semidirect |
| 2. #14583449 | C2 | semidirect |
| 3. #14583114 | C2 | semidirect |
| 4. #14583104 | C2 | semidirect |
| 5. #14583094 | C2 | semidirect |
| 6. #14582923 | C2 | semidirect |
| 7. #14582898 | C2 | semidirect |
| 8. C2×C4×D4×C43 | C2 | semidirect |
| 14. #13063325 | C22 | semidirect |
| 15. #13063322 | C22 | semidirect |
| 16. #13063313 | C22 | semidirect |
| 21. C4⋊(C43⋊C8) | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063248 | C22 | semidirect |
| 24. #13063245 | C22 | semidirect |
| 37. C2×D4×C43 | D4 | semidirect |
| 119. C4×C43 | AGL(1,ℤ/8) | semidirect |
| 132. C2×C4×D4 | D43 | semidirect |
| 138. C43 | #3036 | semidirect |
| 174. C2×D4 | D172 | semidirect |
| 250. C4 | #13063351 | semidirect |