Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 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. C2×#14556570 | C2 | semidirect |
| 2. #17988928 | C2 | semidirect |
| 3. #17988920 | C2 | semidirect |
| 4. #17988903 | C2 | semidirect |
| 5. #17988843 | C2 | semidirect |
| 6. #17988831 | C2 | semidirect |
| 7. #17988749 | C2 | semidirect |
| 8. #17988742 | C2 | semidirect |
| 9. #17988725 | C2 | semidirect |
| 10. #17988551 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 14. C2×#11924016 | C22 | semidirect |
| 23. #14556524 | C22 | semidirect |
| 24. #14556522 | C22 | semidirect |
| 25. #14556515 | C22 | semidirect |
| 26. #14556514 | C22 | semidirect |
| 27. #14556514 | C22 | semidirect |
| 28. #14556512 | C22 | semidirect |
| 150. C73 | #3196 | semidirect |