Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
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×#14556616 | C2 | semidirect |
| 2. C2×#14556597 | C2 | semidirect |
| 3. #17989165 | C2 | semidirect |
| 4. #17989156 | C2 | semidirect |
| 5. #17988839 | C2 | semidirect |
| 6. #17988836 | C2 | semidirect |
| 7. #17988822 | C2 | semidirect |
| 8. #17988819 | C2 | semidirect |
| 9. #17988630 | C2 | semidirect |
| 10. C2×#14556513 | C2 | semidirect |
| 11. #416×C73 | C2 | semidirect |
| 19. C2×#11924011 | C22 | semidirect |
| 20. C2×C8×D73 | C22 | semidirect |
| 24. #14556567 | C22 | semidirect |
| 29. #14556562 | C22 | semidirect |
| 32. #14556524 | C22 | semidirect |
| 33. #14556522 | C22 | semidirect |
| 39. #103×C73 | C22 | semidirect |
| 40. #103×C73 | C22 | semidirect |
| 41. #102×C73 | C22 | semidirect |
| 42. #102×C73 | C22 | semidirect |
| 60. #11924012 | D4 | semidirect |
| 152. C73 | #3062 | semidirect |
| 162. #416 | D73 | semidirect |
| 189. #103 | C2×D73 | semidirect |
| 190. #103 | C2×D73 | semidirect |
| 193. #102 | C2×D73 | semidirect |
| 194. #102 | C2×D73 | semidirect |