Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
292 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 90 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. #17989550 | C2 | semidirect |
| 4. C2×#14556645 | C2 | semidirect |
| 5. #17989462 | C2 | semidirect |
| 6. #17989459 | C2 | semidirect |
| 12. #14556656 | C4 | semidirect |
| 13. #14556655 | C4 | semidirect |
| 14. #14556654 | C4 | semidirect |
| 15. #14556653 | C4 | semidirect |
| 22. #14556599 | C4 | semidirect |
| 23. #14556598 | C4 | semidirect |
| 25. #14556597 | C4 | semidirect |
| 30. #131×C73 | C4 | semidirect |
| 128. C73 | #1765 | semidirect |
| 142. #131 | #64408 | semidirect |