Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17989118 | C2 | semidirect |
| 2. C2×D4×Dic73 | C2 | semidirect |
| 3. #17988918 | C2 | semidirect |
| 4. #17988898 | C2 | semidirect |
| 5. #17988889 | C2 | semidirect |
| 6. #17988800 | C2 | semidirect |
| 7. #17988738 | C2 | semidirect |
| 8. #17988699 | C2 | semidirect |
| 9. #17988684 | C2 | semidirect |
| 10. #17988641 | C2 | semidirect |
| 15. #14556582 | C22 | semidirect |
| 16. #14556578 | C22 | semidirect |
| 19. #14556556 | C22 | semidirect |
| 25. D4×Dic73 | C22 | semidirect |
| 30. #14556524 | C22 | semidirect |
| 31. #14556523 | C22 | semidirect |
| 32. #14556520 | C22 | semidirect |
| 33. #14556516 | C22 | semidirect |
| 35. #14556512 | C22 | semidirect |
| 37. #14556501 | C22 | semidirect |
| 141. C73 | #3114 | semidirect |