Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17989401 | C2 | semidirect |
| 2. #17989389 | C2 | semidirect |
| 3. #17989029 | C2 | semidirect |
| 4. #17989027 | C2 | semidirect |
| 5. #17989022 | C2 | semidirect |
| 6. #17989021 | C2 | semidirect |
| 7. #17989018 | C2 | semidirect |
| 8. C2×#14556536 | C2 | semidirect |
| 9. SD32×D73 | C2 | semidirect |
| 10. #17989003 | C2 | semidirect |
| 11. #508×C73 | C2 | semidirect |
| 19. #14556610 | C22 | semidirect |
| 20. C2×Dic292 | C22 | semidirect |
| 21. Q16×D73 | C22 | semidirect |
| 25. #14556537 | C22 | semidirect |
| 26. #14556536 | C22 | semidirect |
| 27. #14556536 | C22 | semidirect |
| 28. #14556535 | C22 | semidirect |
| 29. #14556534 | C22 | semidirect |
| 30. #14556532 | C22 | semidirect |
| 31. #14556531 | C22 | semidirect |
| 32. #14556530 | C22 | semidirect |
| 33. C16×D73 | C22 | semidirect |
| 35. #135×C73 | C22 | semidirect |
| 36. Q32×C73 | C22 | semidirect |
| 37. SD32×C73 | C22 | semidirect |
| 38. SD32×C73 | C22 | semidirect |
| 39. D16×C73 | C22 | semidirect |
| 40. C2×C16×C73 | C22 | semidirect |
| 127. C73 | #3416 | semidirect |
| 135. #508 | D73 | semidirect |
| 148. #135 | C2×D73 | semidirect |
| 155. Q32 | C2×D73 | semidirect |
| 160. SD32 | C2×D73 | semidirect |
| 161. SD32 | C2×D73 | semidirect |
| 163. D16 | C2×D73 | semidirect |
| 167. C2×C16 | C2×D73 | semidirect |