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. #17989123 | C2 | semidirect |
| 2. C2×#14556578 | C2 | semidirect |
| 3. #17988968 | C2 | semidirect |
| 4. #17988940 | C2 | semidirect |
| 5. #17988807 | C2 | semidirect |
| 6. #17988801 | C2 | semidirect |
| 7. #17988742 | C2 | semidirect |
| 8. #17988728 | C2 | semidirect |
| 10. #17988637 | C2 | semidirect |
| 11. #450×C73 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 14. C2×#11924017 | C22 | semidirect |
| 17. #14556582 | C22 | semidirect |
| 18. #14556580 | C22 | semidirect |
| 25. Q8×Dic73 | C22 | semidirect |
| 26. #14556553 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556516 | C22 | semidirect |
| 34. #14556514 | C22 | semidirect |
| 37. C8×Dic73 | C22 | semidirect |
| 144. C73 | #3211 | semidirect |
| 152. #450 | D73 | semidirect |