Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
232 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 67 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. M32×D43 | C2 | semidirect |
| 3. #106×D43 | C2 | semidirect |
| 4. #14582710 | C2 | semidirect |
| 5. #14582709 | C2 | semidirect |
| 6. #14582708 | C2 | semidirect |
| 7. C43×#360 | C2 | semidirect |
| 9. #13063348 | C4 | semidirect |
| 13. #13063344 | C4 | semidirect |
| 14. Q16×D43 | C4 | semidirect |
| 16. D8×D43 | C4 | semidirect |
| 19. #13063265 | C22 | semidirect |
| 22. #13063257 | C22 | semidirect |
| 25. M32×C43 | C22 | semidirect |
| 26. #106×C43 | C22 | semidirect |
| 39. Q16×C43 | C2×C4 | semidirect |
| 41. D8×C43 | C2×C4 | semidirect |
| 51. Dic172 | C2×C4 | semidirect |
| 52. D344 | C2×C4 | semidirect |
| 111. D43 | #360 | direct (N × H) |
| 118. #360 | D43 | direct (N × H) |
| 119. C43 | C2×#360 | semidirect |
| 134. M32 | C2×D43 | semidirect |
| 138. #106 | C2×D43 | semidirect |
| 153. Q16 | C4×D43 | semidirect |
| 160. D8 | C4×D43 | semidirect |