Order 9477.
960 conjugacy classes of subgroups; only the 286 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 286 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. C3×#11760453 | C3 | semidirect |
| 2. C3×#11760453 | C3 | semidirect |
| 3. #15691674 | C3 | semidirect |
| 4. #15691673 | C3 | semidirect |
| 5. #15691669 | C3 | semidirect |
| 6. #15691665 | C3 | semidirect |
| 7. #15691662 | C3 | semidirect |
| 8. #15691660 | C3 | semidirect |
| 9. #15691657 | C3 | semidirect |
| 10. #15691655 | C3 | semidirect |
| 11. #15691648 | C3 | semidirect |
| 12. C3×C13×#737 | C3 | semidirect |
| 24. #11760453 | C32 | semidirect |
| 25. #11760453 | C32 | semidirect |
| 26. #11760453 | C32 | semidirect |
| 32. C3×#66848 | C32 | semidirect |
| 34. C3×#66849 | C32 | semidirect |
| 38. C3×C9×C13⋊C3 | C32 | semidirect |
| 39. #11760442 | C32 | semidirect |
| 41. #11760439 | C32 | semidirect |
| 42. #11760437 | C32 | semidirect |
| 43. #11760436 | C32 | semidirect |
| 44. #11760434 | C32 | semidirect |
| 48. C13×#737 | C32 | semidirect |
| 49. C13×#737 | C32 | semidirect |
| 50. C13×#737 | C32 | semidirect |
| 116. C3×#737 | C13⋊C3 | semidirect |
| 164. #737 | C3×C13⋊C3 | semidirect |
| 165. #737 | C3×C13⋊C3 | semidirect |
| 166. #737 | C3×C13⋊C3 | semidirect |
| 254. C13 | #10624929 | semidirect |