Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989151 | C2 | semidirect |
| 2. #17988911 | C2 | semidirect |
| 3. #17988908 | C2 | semidirect |
| 4. #17988838 | C2 | semidirect |
| 5. #17988821 | C2 | semidirect |
| 6. #17988721 | C2 | semidirect |
| 7. #17988720 | C2 | semidirect |
| 8. #17988554 | C2 | semidirect |
| 9. #535×C73 | C2 | semidirect |
| 10. C22×D292 | C22 | semidirect |
| 13. C2×#11924012 | C22 | semidirect |
| 14. C22×#10596831 | C22 | semidirect |
| 18. #14556565 | C22 | semidirect |
| 21. #14556550 | C22 | semidirect |
| 22. #14556524 | C22 | semidirect |
| 23. #14556522 | C22 | semidirect |
| 24. #14556512 | C22 | semidirect |
| 25. #14556512 | C22 | semidirect |
| 26. #14556511 | C22 | semidirect |
| 27. #14556511 | C22 | semidirect |
| 28. C22⋊#10596831 | C22 | semidirect |
| 29. C22⋊#10596831 | C22 | semidirect |
| 31. C22×D4×C73 | C22 | semidirect |
| 35. #121×C73 | C22 | semidirect |
| 38. #117×C73 | C22 | semidirect |
| 145. C73 | #3199 | semidirect |
| 147. #535 | D73 | semidirect |
| 157. C22×D4 | C2×D73 | semidirect |
| 169. #121 | C2×D73 | semidirect |
| 175. #117 | C2×D73 | semidirect |