Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
444 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 133 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. #17989144 | C2 | semidirect |
| 2. #17988922 | C2 | semidirect |
| 3. #17988867 | C2 | semidirect |
| 4. #17988792 | C2 | semidirect |
| 6. #17988687 | C2 | semidirect |
| 7. #17988644 | C2 | semidirect |
| 10. #14556591 | C22 | semidirect |
| 11. #14556591 | C22 | semidirect |
| 16. C4×Dic146 | C22 | semidirect |
| 18. #14556524 | C22 | semidirect |
| 19. C4⋊#10596831 | C22 | semidirect |
| 20. #14556514 | C22 | semidirect |
| 23. #14556502 | C22 | semidirect |
| 113. C73 | #3110 | semidirect |