Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#13094046 | C2 | semidirect |
| 2. #15689564 | C2 | semidirect |
| 3. #15689563 | C2 | semidirect |
| 4. #15689559 | C2 | semidirect |
| 5. #15689558 | C2 | semidirect |
| 6. #15689553 | C2 | semidirect |
| 7. C2×#13093964 | C2 | semidirect |
| 8. C2×#135×C47 | C2 | semidirect |
| 13. #13094046 | C22 | semidirect |
| 14. C2×Dic188 | C22 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 17. #13093970 | C22 | semidirect |
| 18. #13093968 | C22 | semidirect |
| 19. #13093967 | C22 | semidirect |
| 20. #13093965 | C22 | semidirect |
| 21. #13093964 | C22 | semidirect |
| 22. #13093964 | C22 | semidirect |
| 23. C2×C47⋊C16 | C22 | semidirect |
| 28. #135×C47 | C22 | semidirect |
| 29. C2×Q16×C47 | C22 | semidirect |
| 31. C2×D8×C47 | C22 | semidirect |
| 122. C2×#135 | D47 | semidirect |
| 129. C47 | #3414 | semidirect |
| 139. #135 | C2×D47 | semidirect |
| 141. C2×Q16 | C2×D47 | semidirect |
| 145. C2×D8 | C2×D47 | semidirect |