Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17989121 | C2 | semidirect |
| 2. #17988974 | C2 | semidirect |
| 3. #17988951 | C2 | semidirect |
| 4. #17988784 | C2 | semidirect |
| 5. #17988779 | C2 | semidirect |
| 6. #17988738 | C2 | semidirect |
| 7. #17988721 | C2 | semidirect |
| 8. #17988644 | C2 | semidirect |
| 9. C2×#127×C73 | C2 | semidirect |
| 10. C2×#11924016 | C22 | semidirect |
| 11. C2×#11924013 | C22 | semidirect |
| 13. #14556583 | C22 | semidirect |
| 14. #14556579 | C22 | semidirect |
| 18. C4×Dic146 | C22 | semidirect |
| 19. C4×D292 | C22 | semidirect |
| 22. C4⋊#10596831 | C22 | semidirect |
| 23. #14556512 | C22 | semidirect |
| 24. #14556512 | C22 | semidirect |
| 26. #14556502 | C22 | semidirect |
| 128. C73 | #3217 | semidirect |
| 129. C2×#127 | D73 | semidirect |