Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063353 | C2 | semidirect |
| 2. #14583477 | C2 | semidirect |
| 3. #14583463 | C2 | semidirect |
| 4. #14583152 | C2 | semidirect |
| 5. #14583145 | C2 | semidirect |
| 6. #14583135 | C2 | semidirect |
| 7. #14583128 | C2 | semidirect |
| 8. #14582941 | C2 | semidirect |
| 9. #14582896 | C2 | semidirect |
| 10. C2×#13063247 | C2 | semidirect |
| 11. C2×#131×C43 | C2 | semidirect |
| 19. #13063304 | C22 | semidirect |
| 23. #13063299 | C22 | semidirect |
| 29. #13063259 | C22 | semidirect |
| 30. #13063257 | C22 | semidirect |
| 31. #13063250 | C22 | semidirect |
| 32. #13063250 | C22 | semidirect |
| 35. #13063247 | C22 | semidirect |
| 36. #13063247 | C22 | semidirect |
| 40. C2×M16×C43 | C22 | semidirect |
| 42. C22×C8×C43 | C22 | semidirect |
| 66. M16×C43 | D4 | semidirect |
| 153. C2×#131 | D43 | semidirect |
| 163. C43 | #3062 | semidirect |
| 172. C2×M16 | C2×D43 | semidirect |
| 174. C22×C8 | C2×D43 | semidirect |
| 220. M16 | C22⋊D43 | semidirect |