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. #17989400 | C2 | semidirect |
| 2. #17989389 | C2 | semidirect |
| 3. #17989029 | C2 | semidirect |
| 4. #17989025 | C2 | semidirect |
| 5. #17989024 | C2 | semidirect |
| 6. #17989020 | C2 | semidirect |
| 7. #17989017 | C2 | semidirect |
| 8. C2×#14556534 | C2 | semidirect |
| 9. SD32×D73 | C2 | semidirect |
| 10. #17989005 | C2 | semidirect |
| 11. #510×C73 | C2 | semidirect |
| 19. #14556614 | C22 | semidirect |
| 20. #14556613 | C22 | semidirect |
| 21. Q16×D73 | C22 | semidirect |
| 25. #14556537 | C22 | semidirect |
| 26. #14556536 | C22 | semidirect |
| 27. #14556535 | C22 | semidirect |
| 28. #14556534 | C22 | semidirect |
| 29. #14556534 | C22 | semidirect |
| 30. #14556534 | C22 | semidirect |
| 31. D1168 | C22 | semidirect |
| 32. #14556532 | C22 | semidirect |
| 33. #14556530 | C22 | semidirect |
| 34. C2×#11924003 | C22 | semidirect |
| 35. C16×D73 | C22 | semidirect |
| 37. C2×Q16×C73 | C22 | semidirect |
| 38. Q32×C73 | C22 | semidirect |
| 39. SD32×C73 | C22 | semidirect |
| 40. M32×C73 | C22 | semidirect |
| 127. C73 | #3416 | semidirect |
| 131. #510 | D73 | semidirect |
| 150. C2×Q16 | C2×D73 | semidirect |
| 155. Q32 | C2×D73 | semidirect |
| 161. SD32 | C2×D73 | semidirect |
| 165. M32 | C2×D73 | semidirect |