Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556599 | C2 | semidirect |
| 2. #17989165 | C2 | semidirect |
| 3. #17989154 | C2 | semidirect |
| 4. #17988837 | C2 | semidirect |
| 5. #17988830 | C2 | semidirect |
| 6. #17988820 | C2 | semidirect |
| 7. #17988813 | C2 | semidirect |
| 8. #17988629 | C2 | semidirect |
| 9. #17988583 | C2 | semidirect |
| 10. C2×#14556512 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 14. C2×#11924011 | C22 | semidirect |
| 16. C2×C8×D73 | C22 | semidirect |
| 20. #14556567 | C22 | semidirect |
| 25. #14556562 | C22 | semidirect |
| 29. #14556525 | C22 | semidirect |
| 30. #14556523 | C22 | semidirect |
| 31. #14556515 | C22 | semidirect |
| 32. #14556515 | C22 | semidirect |
| 35. #14556512 | C22 | semidirect |
| 36. #14556512 | C22 | semidirect |
| 83. M16×C73 | D4 | semidirect |
| 152. C73 | #3062 | semidirect |
| 153. C2×AGL(1,ℤ/8) | D73 | semidirect |
| 220. M16 | C22⋊D73 | semidirect |