Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
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×#14556619 | C2 | semidirect |
| 2. C2×#14556599 | C2 | semidirect |
| 3. #17989168 | C2 | semidirect |
| 4. #17989156 | C2 | semidirect |
| 5. #17988841 | C2 | semidirect |
| 6. #17988834 | C2 | semidirect |
| 7. #17988824 | C2 | semidirect |
| 8. #17988817 | C2 | semidirect |
| 9. #17988581 | C2 | semidirect |
| 10. C2×#14556511 | C2 | semidirect |
| 11. #428×C73 | C2 | semidirect |
| 19. C2×#11924011 | C22 | semidirect |
| 21. C2×C8×D73 | C22 | semidirect |
| 25. #14556571 | C22 | semidirect |
| 29. #14556566 | C22 | semidirect |
| 32. #14556514 | C22 | semidirect |
| 33. #14556514 | C22 | semidirect |
| 36. #14556511 | C22 | semidirect |
| 37. #14556511 | C22 | semidirect |
| 41. #107×C73 | C22 | semidirect |
| 42. #106×C73 | C22 | semidirect |
| 77. M16×C73 | D4 | semidirect |
| 152. C73 | #3062 | semidirect |
| 161. #428 | D73 | semidirect |
| 187. #107 | C2×D73 | semidirect |
| 188. #106 | C2×D73 | semidirect |
| 220. M16 | D292 | semidirect |