Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063331 | C2 | semidirect |
| 3. #14583477 | C2 | semidirect |
| 4. #14583468 | C2 | semidirect |
| 5. #14583151 | C2 | semidirect |
| 6. #14583148 | C2 | semidirect |
| 7. #14583134 | C2 | semidirect |
| 8. #14583131 | C2 | semidirect |
| 9. #14582942 | C2 | semidirect |
| 10. C2×#13063247 | C2 | semidirect |
| 11. C43×#416 | C2 | semidirect |
| 19. C2×#10621872 | C22 | semidirect |
| 20. C2×C8×D43 | C22 | semidirect |
| 24. #13063301 | C22 | semidirect |
| 29. #13063296 | C22 | semidirect |
| 32. #13063258 | C22 | semidirect |
| 33. #13063256 | C22 | semidirect |
| 39. #103×C43 | C22 | semidirect |
| 40. #103×C43 | C22 | semidirect |
| 41. #102×C43 | C22 | semidirect |
| 42. #102×C43 | C22 | semidirect |
| 81. #10621877 | D4 | semidirect |
| 161. #416 | D43 | semidirect |
| 163. C43 | #3062 | semidirect |
| 189. #103 | C2×D43 | semidirect |
| 190. #103 | C2×D43 | semidirect |
| 193. #102 | C2×D43 | semidirect |
| 194. #102 | C2×D43 | semidirect |