Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
292 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #17989553 | C2 | semidirect |
| 4. #17989546 | C2 | semidirect |
| 5. #17989462 | C2 | semidirect |
| 6. #17989458 | C2 | semidirect |
| 8. #14556679 | C4 | semidirect |
| 10. #14556678 | C4 | semidirect |
| 17. #14556654 | C4 | semidirect |
| 18. #14556653 | C4 | semidirect |
| 25. #14556519 | C4 | semidirect |
| 26. #14556518 | C4 | semidirect |
| 27. #14556517 | C4 | semidirect |
| 28. #104×C73 | C4 | semidirect |
| 121. C73 | #1765 | semidirect |
| 144. #104 | #64408 | semidirect |