Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#13063333 | C2 | semidirect |
| 3. #14583480 | C2 | semidirect |
| 4. #14583468 | C2 | semidirect |
| 5. #14583153 | C2 | semidirect |
| 6. #14583146 | C2 | semidirect |
| 7. #14583136 | C2 | semidirect |
| 8. #14583129 | C2 | semidirect |
| 9. #14582893 | C2 | semidirect |
| 10. C2×#13063245 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 19. C2×#10621872 | C22 | semidirect |
| 21. C2×C8×D43 | C22 | semidirect |
| 25. #13063305 | C22 | semidirect |
| 29. #13063300 | C22 | semidirect |
| 32. #13063248 | C22 | semidirect |
| 33. #13063248 | C22 | semidirect |
| 36. #13063245 | C22 | semidirect |
| 37. #13063245 | C22 | semidirect |
| 41. #107×C43 | C22 | semidirect |
| 42. #106×C43 | C22 | semidirect |
| 65. M16×C43 | D4 | semidirect |
| 160. #428 | D43 | semidirect |
| 163. C43 | #3062 | semidirect |
| 187. #107 | C2×D43 | semidirect |
| 188. #106 | C2×D43 | semidirect |
| 220. M16 | D172 | semidirect |