Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13063350 | C2 | semidirect |
| 2. C2×C4×D172 | C2 | semidirect |
| 3. #14583111 | C2 | semidirect |
| 4. #14583101 | C2 | semidirect |
| 5. #14583091 | C2 | semidirect |
| 6. #14582923 | C2 | semidirect |
| 7. #14582900 | C2 | semidirect |
| 8. C43×#532 | C2 | semidirect |
| 21. C4⋊(C43⋊C8) | C22 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 24. #13063246 | C22 | semidirect |
| 26. C4⋊Q8×C43 | C22 | semidirect |
| 27. #127×C43 | C22 | semidirect |
| 28. #124×C43 | C22 | semidirect |
| 49. C2×D172 | D4 | semidirect |
| 119. C4×C43 | AGL(1,ℤ/8) | semidirect |
| 131. #532 | D43 | semidirect |
| 138. C43 | #3036 | semidirect |
| 146. C4⋊Q8 | C2×D43 | semidirect |
| 147. #127 | C2×D43 | semidirect |
| 148. #124 | C2×D43 | semidirect |
| 250. C4 | #13063350 | semidirect |