Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17988982 | C2 | semidirect |
| 3. #17988946 | C2 | semidirect |
| 4. #17988806 | C2 | semidirect |
| 5. #17988743 | C2 | semidirect |
| 7. #17988644 | C2 | semidirect |
| 9. C2×#11924018 | C22 | semidirect |
| 11. #14556591 | C22 | semidirect |
| 12. #14556591 | C22 | semidirect |
| 17. C4×Dic146 | C22 | semidirect |
| 19. C4⋊#10596831 | C22 | semidirect |
| 20. #14556515 | C22 | semidirect |
| 23. #14556502 | C22 | semidirect |
| 113. C73 | #3215 | semidirect |