Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689754 | C2 | semidirect |
| 3. #15689486 | C2 | semidirect |
| 4. #15689481 | C2 | semidirect |
| 5. #15689476 | C2 | semidirect |
| 6. #15689468 | C2 | semidirect |
| 7. #15689128 | C2 | semidirect |
| 8. #15689122 | C2 | semidirect |
| 9. #15689120 | C2 | semidirect |
| 10. #15689078 | C2 | semidirect |
| 11. C2×#102×C47 | C2 | semidirect |
| 15. #13094023 | C22 | semidirect |
| 18. #13094015 | C22 | semidirect |
| 26. #13093949 | C22 | semidirect |
| 27. #13093949 | C22 | semidirect |
| 28. #13093947 | C22 | semidirect |
| 29. #13093946 | C22 | semidirect |
| 30. #13093946 | C22 | semidirect |
| 33. #13093944 | C22 | semidirect |
| 34. #13093934 | C22 | semidirect |
| 35. C8×Dic47 | C22 | semidirect |
| 145. C2×#102 | D47 | semidirect |
| 147. C47 | #3136 | semidirect |