Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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. C2×#14556565 | C2 | semidirect |
| 2. #17988920 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988903 | C2 | semidirect |
| 5. #17988821 | C2 | semidirect |
| 6. #17988818 | C2 | semidirect |
| 7. #17988737 | C2 | semidirect |
| 8. #17988732 | C2 | semidirect |
| 9. #17988720 | C2 | semidirect |
| 10. C2×C22⋊#10596831 | C2 | semidirect |
| 11. #525×C73 | C2 | semidirect |
| 14. C2×#11924015 | C22 | semidirect |
| 15. C2×#11924013 | C22 | semidirect |
| 16. C22×#10596831 | C22 | semidirect |
| 23. #14556524 | C22 | semidirect |
| 24. #14556522 | C22 | semidirect |
| 25. #14556515 | C22 | semidirect |
| 26. #14556512 | C22 | semidirect |
| 27. #14556511 | C22 | semidirect |
| 28. #14556511 | C22 | semidirect |
| 31. C22⋊#10596831 | C22 | semidirect |
| 32. C2×#41×C73 | C22 | semidirect |
| 36. C22⋊Q8×C73 | C22 | semidirect |
| 38. #121×C73 | C22 | semidirect |
| 42. #117×C73 | C22 | semidirect |
| 159. C73 | #3188 | semidirect |
| 160. #525 | D73 | semidirect |
| 171. C2×#41 | C2×D73 | semidirect |
| 180. C22⋊Q8 | C2×D73 | semidirect |
| 186. #121 | C2×D73 | semidirect |
| 190. #117 | C2×D73 | semidirect |