Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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×#14556639 | C2 | semidirect |
| 2. C2×#14556617 | C2 | semidirect |
| 3. #17989154 | C2 | semidirect |
| 4. #17988731 | C2 | semidirect |
| 5. #17988724 | C2 | semidirect |
| 6. #17988596 | C2 | semidirect |
| 7. #17988584 | C2 | semidirect |
| 8. #17988553 | C2 | semidirect |
| 9. C22×SD16×C73 | C2 | semidirect |
| 13. C2×#11924029 | C22 | semidirect |
| 18. C2×Q8×D73 | C22 | semidirect |
| 28. #14556516 | C22 | semidirect |
| 29. #14556515 | C22 | semidirect |
| 30. #14556513 | C22 | semidirect |
| 31. #14556503 | C22 | semidirect |
| 44. #11924028 | D4 | semidirect |
| 72. C2×Q8×C73 | D4 | semidirect |
| 146. C73 | #3010 | semidirect |
| 149. C22×SD16 | D73 | semidirect |
| 200. C2×Q8 | C22⋊D73 | semidirect |