Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 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×#14556570 | C2 | semidirect |
| 2. #17988922 | C2 | semidirect |
| 3. #17988898 | C2 | semidirect |
| 4. #17988831 | C2 | semidirect |
| 5. #17988738 | C2 | semidirect |
| 6. #17988725 | C2 | semidirect |
| 7. #17988551 | C2 | semidirect |
| 9. C22×Dic146 | C22 | semidirect |
| 10. C2×#11924016 | C22 | semidirect |
| 11. C2×#11924012 | C22 | semidirect |
| 15. #14556570 | C22 | semidirect |
| 16. C2×C4⋊Dic73 | C22 | semidirect |
| 19. #14556524 | C22 | semidirect |
| 20. #14556514 | C22 | semidirect |
| 21. #14556512 | C22 | semidirect |
| 23. C22⋊#10596831 | C22 | semidirect |
| 130. C73 | #3193 | semidirect |