Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #17988953 | C2 | semidirect |
| 3. #17988949 | C2 | semidirect |
| 4. #17988944 | C2 | semidirect |
| 5. #17988935 | C2 | semidirect |
| 6. #17988591 | C2 | semidirect |
| 7. #17988586 | C2 | semidirect |
| 8. #17988581 | C2 | semidirect |
| 9. C2×#14556511 | C2 | semidirect |
| 10. #17988543 | C2 | semidirect |
| 11. #544×C73 | C2 | semidirect |
| 21. #14556514 | C22 | semidirect |
| 22. #14556514 | C22 | semidirect |
| 23. #14556514 | C22 | semidirect |
| 28. #14556511 | C22 | semidirect |
| 29. #14556511 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 31. #14556502 | C22 | semidirect |
| 32. C4×#10596831 | C22 | semidirect |
| 34. C4⋊Q8×C73 | C22 | semidirect |
| 36. #125×C73 | C22 | semidirect |
| 136. C73 | #3136 | semidirect |
| 137. #544 | D73 | semidirect |
| 153. C4⋊Q8 | C2×D73 | semidirect |
| 156. #125 | C2×D73 | semidirect |