Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 1. #17989218 | C2 | semidirect |
| 3. #17988890 | C2 | semidirect |
| 4. #17988886 | C2 | semidirect |
| 5. #17988876 | C2 | semidirect |
| 6. #17988866 | C2 | semidirect |
| 7. #17988623 | C2 | semidirect |
| 8. #17988615 | C2 | semidirect |
| 11. #428×C73 | C2 | semidirect |
| 15. #14556590 | C22 | semidirect |
| 17. #14556582 | C22 | semidirect |
| 26. #14556524 | C22 | semidirect |
| 27. #14556524 | C22 | semidirect |
| 28. #14556522 | C22 | semidirect |
| 29. #14556522 | C22 | semidirect |
| 30. #14556520 | C22 | semidirect |
| 31. #14556520 | C22 | semidirect |
| 39. #107×C73 | C22 | semidirect |
| 40. #106×C73 | C22 | semidirect |
| 45. C2×D292 | Q8 | semidirect |
| 125. C73 | #3081 | semidirect |
| 132. #428 | D73 | semidirect |
| 156. #107 | C2×D73 | semidirect |
| 159. #106 | C2×D73 | semidirect |