Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17989118 | C2 | semidirect |
| 2. C2×#14556580 | C2 | semidirect |
| 3. #17988968 | C2 | semidirect |
| 4. #17988943 | C2 | semidirect |
| 5. #17988812 | C2 | semidirect |
| 6. #17988804 | C2 | semidirect |
| 7. #17988743 | C2 | semidirect |
| 8. #17988740 | C2 | semidirect |
| 10. #17988637 | C2 | semidirect |
| 11. #448×C73 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 17. #14556582 | C22 | semidirect |
| 22. #14556578 | C22 | semidirect |
| 25. #14556556 | C22 | semidirect |
| 27. D4×Dic73 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556515 | C22 | semidirect |
| 37. C8×Dic73 | C22 | semidirect |
| 39. C2×SD16×C73 | C22 | semidirect |
| 41. #103×C73 | C22 | semidirect |
| 144. C73 | #3211 | semidirect |
| 153. #448 | D73 | semidirect |
| 160. C2×SD16 | C2×D73 | semidirect |
| 181. #103 | C2×D73 | semidirect |