Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
450 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17988917 | C2 | semidirect |
| 3. #17988900 | C2 | semidirect |
| 4. #17988887 | C2 | semidirect |
| 5. #17988802 | C2 | semidirect |
| 6. #17988738 | C2 | semidirect |
| 8. #17988697 | C2 | semidirect |
| 9. #17988687 | C2 | semidirect |
| 10. #17988644 | C2 | semidirect |
| 11. C2×C4×D4×C73 | C2 | semidirect |
| 15. #14556583 | C22 | semidirect |
| 16. #14556579 | C22 | semidirect |
| 20. C4×Dic146 | C22 | semidirect |
| 21. C4×D292 | C22 | semidirect |
| 24. #14556524 | C22 | semidirect |
| 25. #14556522 | C22 | semidirect |
| 26. C4⋊#10596831 | C22 | semidirect |
| 27. #14556514 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 33. #14556502 | C22 | semidirect |
| 141. C73 | #3114 | semidirect |
| 143. C2×C4×D4 | D73 | semidirect |