Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 123 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. D4×D292 | C2 | semidirect |
| 2. #17988935 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988874 | C2 | semidirect |
| 5. #17988838 | C2 | semidirect |
| 6. #17988782 | C2 | semidirect |
| 7. #17988720 | C2 | semidirect |
| 8. C4×#11924013 | C2 | semidirect |
| 9. #17988665 | C2 | semidirect |
| 10. #17988591 | C2 | semidirect |
| 11. #555×C73 | C2 | semidirect |
| 15. C2×#11924013 | C22 | semidirect |
| 16. C2×#11924012 | C22 | semidirect |
| 22. #14556524 | C22 | semidirect |
| 23. #14556522 | C22 | semidirect |
| 24. C4⋊#10596831 | C22 | semidirect |
| 25. #14556512 | C22 | semidirect |
| 28. #14556511 | C22 | semidirect |
| 29. #14556511 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 31. C22⋊#10596831 | C22 | semidirect |
| 32. C4×#10596831 | C22 | semidirect |
| 33. C4⋊Q8×C73 | C22 | semidirect |
| 36. #121×C73 | C22 | semidirect |
| 38. C4×D4×C73 | C22 | semidirect |
| 40. #117×C73 | C22 | semidirect |
| 141. C73 | #3325 | semidirect |
| 142. #555 | D73 | semidirect |
| 158. C4⋊Q8 | C2×D73 | semidirect |
| 164. #121 | C2×D73 | semidirect |
| 168. C4×D4 | C2×D73 | semidirect |
| 170. #117 | C2×D73 | semidirect |