Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
368 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 368 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. #135×D73 | C2 | semidirect |
| 2. #17989020 | C2 | semidirect |
| 3. #17989019 | C2 | semidirect |
| 4. #17989018 | C2 | semidirect |
| 5. #17989017 | C2 | semidirect |
| 6. #17989016 | C2 | semidirect |
| 7. Q32×D73 | C2 | semidirect |
| 8. SD32×D73 | C2 | semidirect |
| 9. D16×D73 | C2 | semidirect |
| 10. C2×C16×D73 | C2 | semidirect |
| 11. #508×C73 | C2 | semidirect |
| 13. #14556614 | C22 | semidirect |
| 14. #14556613 | C22 | semidirect |
| 17. #14556610 | C22 | semidirect |
| 22. Dic584 | C22 | semidirect |
| 23. #14556537 | C22 | semidirect |
| 24. #14556536 | C22 | semidirect |
| 25. #14556535 | C22 | semidirect |
| 26. #14556534 | C22 | semidirect |
| 27. D1168 | C22 | semidirect |
| 28. #14556532 | C22 | semidirect |
| 29. C2×#11924003 | C22 | semidirect |
| 32. C16×D73 | C22 | semidirect |
| 33. C16×D73 | C22 | semidirect |
| 34. #135×C73 | C22 | semidirect |
| 35. Q32×C73 | C22 | semidirect |
| 36. SD32×C73 | C22 | semidirect |
| 37. D16×C73 | C22 | semidirect |
| 38. C2×C16×C73 | C22 | semidirect |
| 115. D73 | #508 | direct (N × H) |
| 117. C73 | C2×#508 | semidirect |
| 124. #508 | D73 | direct (N × H) |
| 135. #135 | C2×D73 | semidirect |
| 142. Q32 | C2×D73 | semidirect |
| 146. SD32 | C2×D73 | semidirect |
| 149. D16 | C2×D73 | semidirect |
| 155. C2×C16 | C2×D73 | semidirect |