Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
388 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. C22⋊C8×D43 | C2 | semidirect |
| 3. #95×D43 | C2 | semidirect |
| 4. #14582634 | C2 | semidirect |
| 5. #14582633 | C2 | semidirect |
| 6. #14582632 | C2 | semidirect |
| 7. C43×#327 | C2 | semidirect |
| 9. C2×D4×D43 | C4 | semidirect |
| 13. #13063300 | C4 | semidirect |
| 17. #13063296 | C4 | semidirect |
| 18. C4⋊C4×D43 | C4 | semidirect |
| 20. C22⋊(C43⋊C8) | C22 | semidirect |
| 23. C43⋊#95 | C22 | semidirect |
| 25. C22⋊C8×C43 | C22 | semidirect |
| 26. #95×C43 | C22 | semidirect |
| 30. C2×D4×C43 | C2×C4 | semidirect |
| 42. C2×D172 | C2×C4 | semidirect |
| 53. C4⋊C4×C43 | C2×C4 | semidirect |
| 58. C4⋊Dic43 | C2×C4 | semidirect |
| 142. D43 | #327 | direct (N × H) |
| 149. #327 | D43 | direct (N × H) |
| 150. C43 | C2×#327 | semidirect |
| 166. C22⋊C8 | C2×D43 | semidirect |
| 169. #95 | C2×D43 | semidirect |
| 181. C2×D4 | C4×D43 | semidirect |
| 200. C4⋊C4 | C4×D43 | semidirect |