Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556619 | C2 | semidirect |
| 2. C2×#14556611 | C2 | semidirect |
| 3. C22×#11924013 | C2 | semidirect |
| 4. #17989154 | C2 | semidirect |
| 5. #17989151 | C2 | semidirect |
| 6. #17988975 | C2 | semidirect |
| 7. #17988973 | C2 | semidirect |
| 8. #17988968 | C2 | semidirect |
| 9. #17988962 | C2 | semidirect |
| 10. #17988545 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 16. C2×#11924018 | C22 | semidirect |
| 17. C2×#11924017 | C22 | semidirect |
| 18. C2×#11924016 | C22 | semidirect |
| 19. C2×#11924015 | C22 | semidirect |
| 20. C2×D584 | C22 | semidirect |
| 24. C2×#11924013 | C22 | semidirect |
| 26. #14556587 | C22 | semidirect |
| 27. #14556587 | C22 | semidirect |
| 28. #14556580 | C22 | semidirect |
| 29. #14556578 | C22 | semidirect |
| 35. #14556501 | C22 | semidirect |
| 36. C8×Dic73 | C22 | semidirect |
| 40. C2×SD16×C73 | C22 | semidirect |
| 41. C2×D8×C73 | C22 | semidirect |
| 64. C2×#10596831 | D4 | semidirect |
| 86. M16×C73 | D4 | semidirect |
| 154. C73 | #3155 | semidirect |
| 156. C2×AGL(1,ℤ/8) | D73 | semidirect |
| 177. C2×SD16 | C2×D73 | semidirect |
| 183. C2×D8 | C2×D73 | semidirect |
| 232. M16 | C22⋊D73 | semidirect |