Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17989100 | C2 | semidirect |
| 2. C2×#14556562 | C2 | semidirect |
| 3. #17988920 | C2 | semidirect |
| 4. #17988910 | C2 | semidirect |
| 5. #17988906 | C2 | semidirect |
| 6. #17988822 | C2 | semidirect |
| 7. #17988813 | C2 | semidirect |
| 8. #17988731 | C2 | semidirect |
| 9. #17988721 | C2 | semidirect |
| 10. C22⋊C8×D73 | C2 | semidirect |
| 11. #450×C73 | C2 | semidirect |
| 12. C2×#11924029 | C22 | semidirect |
| 15. C2×#11924013 | C22 | semidirect |
| 16. C2×C8×D73 | C22 | semidirect |
| 18. #14556567 | C22 | semidirect |
| 19. #14556566 | C22 | semidirect |
| 28. #14556549 | C22 | semidirect |
| 31. #14556524 | C22 | semidirect |
| 32. #14556523 | C22 | semidirect |
| 33. #14556515 | C22 | semidirect |
| 34. #14556513 | C22 | semidirect |
| 35. #14556512 | C22 | semidirect |
| 37. #14556503 | C22 | semidirect |
| 39. C2×SD16×C73 | C22 | semidirect |
| 41. #102×C73 | C22 | semidirect |
| 159. C73 | #3188 | semidirect |
| 167. #450 | D73 | semidirect |
| 175. C2×SD16 | C2×D73 | semidirect |
| 198. #102 | C2×D73 | semidirect |