Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#13094050 | C2 | semidirect |
| 2. C2×#13094031 | C2 | semidirect |
| 3. #15689701 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689367 | C2 | semidirect |
| 6. #15689357 | C2 | semidirect |
| 7. #15689350 | C2 | semidirect |
| 8. #15689166 | C2 | semidirect |
| 9. #15689117 | C2 | semidirect |
| 10. C2×#13093945 | C2 | semidirect |
| 11. C47×#535 | C2 | semidirect |
| 18. C2×#10625329 | C22 | semidirect |
| 20. C22×C47⋊C8 | C22 | semidirect |
| 21. #13094003 | C22 | semidirect |
| 23. #13093998 | C22 | semidirect |
| 27. #13093957 | C22 | semidirect |
| 28. #13093955 | C22 | semidirect |
| 29. #13093947 | C22 | semidirect |
| 30. #13093947 | C22 | semidirect |
| 33. #13093944 | C22 | semidirect |
| 34. #13093944 | C22 | semidirect |
| 79. #10625329 | D4 | semidirect |
| 155. #535 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |