Order 9477.
978 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 978 conjugacy classes of subgroups — too many to draw. Only its 268 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. #15691697 | C3 | semidirect |
| 3. C3×#11760453 | C3 | semidirect |
| 4. #15691662 | C3 | semidirect |
| 5. #15691660 | C3 | semidirect |
| 6. #15691659 | C3 | semidirect |
| 7. #15691658 | C3 | semidirect |
| 8. C3×#11760438 | C3 | semidirect |
| 9. C13⋊C3×#731 | C3 | semidirect |
| 10. C3×C13×#731 | C3 | semidirect |
| 15. C3×#66851 | C32 | semidirect |
| 16. C3×#66851 | C32 | semidirect |
| 17. C3×#66848 | C32 | semidirect |
| 18. C3×#66849 | C32 | semidirect |
| 19. 3−1+2×C13⋊C3 | C32 | semidirect |
| 25. C3×C9×C13⋊C3 | C32 | semidirect |
| 26. #11760439 | C32 | semidirect |
| 27. #11760438 | C32 | semidirect |
| 28. #11760438 | C32 | semidirect |
| 29. #11760438 | C32 | semidirect |
| 30. #11760437 | C32 | semidirect |
| 31. C3×C13×3−1+2 | C32 | semidirect |
| 33. C32×C9×C13 | C32 | semidirect |
| 34. C13×#731 | C32 | semidirect |
| 35. C13×#731 | C32 | semidirect |
| 36. C13×#731 | C32 | semidirect |
| 81. C3×#731 | C13⋊C3 | semidirect |
| 108. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 116. C32×C9 | C3×C13⋊C3 | semidirect |
| 122. #731 | C3×C13⋊C3 | semidirect |
| 123. #731 | C3×C13⋊C3 | semidirect |
| 124. #731 | C3×C13⋊C3 | semidirect |
| 166. C13 | #10624931 | semidirect |