Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689937 | C2 | semidirect |
| 2. #15689925 | C2 | semidirect |
| 3. #15689565 | C2 | semidirect |
| 4. #15689563 | C2 | semidirect |
| 5. #15689558 | C2 | semidirect |
| 6. #15689557 | C2 | semidirect |
| 7. #15689554 | C2 | semidirect |
| 8. C2×#13093969 | C2 | semidirect |
| 9. SD32×D47 | C2 | semidirect |
| 10. #15689539 | C2 | semidirect |
| 11. C47×#508 | C2 | semidirect |
| 19. #13094043 | C22 | semidirect |
| 20. C2×Dic188 | C22 | semidirect |
| 21. Q16×D47 | C22 | semidirect |
| 25. #13093970 | C22 | semidirect |
| 26. #13093969 | C22 | semidirect |
| 27. #13093969 | C22 | semidirect |
| 28. #13093968 | C22 | semidirect |
| 29. #13093967 | C22 | semidirect |
| 30. #13093965 | C22 | semidirect |
| 31. #13093964 | C22 | semidirect |
| 32. #13093963 | C22 | semidirect |
| 33. C16×D47 | C22 | semidirect |
| 35. #135×C47 | C22 | semidirect |
| 36. Q32×C47 | C22 | semidirect |
| 37. SD32×C47 | C22 | semidirect |
| 38. SD32×C47 | C22 | semidirect |
| 39. D16×C47 | C22 | semidirect |
| 40. C2×C16×C47 | C22 | semidirect |
| 134. #508 | D47 | semidirect |
| 138. C47 | #3416 | semidirect |
| 148. #135 | C2×D47 | semidirect |
| 155. Q32 | C2×D47 | semidirect |
| 160. SD32 | C2×D47 | semidirect |
| 161. SD32 | C2×D47 | semidirect |
| 163. D16 | C2×D47 | semidirect |
| 167. C2×C16 | C2×D47 | semidirect |