Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. C2×Q16×D47 | C2 | semidirect |
| 3. #15689566 | C2 | semidirect |
| 4. #15689565 | C2 | semidirect |
| 5. #15689564 | C2 | semidirect |
| 6. #15689563 | C2 | semidirect |
| 7. #15689562 | C2 | semidirect |
| 8. Q32×D47 | C2 | semidirect |
| 9. SD32×D47 | C2 | semidirect |
| 10. M32×D47 | C2 | semidirect |
| 11. C47×#510 | C2 | semidirect |
| 19. C2×Dic188 | C22 | semidirect |
| 25. Q16×D47 | C22 | semidirect |
| 29. Dic376 | C22 | semidirect |
| 30. #13093970 | C22 | semidirect |
| 31. #13093970 | C22 | semidirect |
| 32. #13093969 | C22 | semidirect |
| 33. #13093968 | C22 | semidirect |
| 34. #13093967 | C22 | semidirect |
| 35. #13093964 | C22 | semidirect |
| 36. #13093963 | C22 | semidirect |
| 39. C2×Q16×C47 | C22 | semidirect |
| 40. Q32×C47 | C22 | semidirect |
| 41. SD32×C47 | C22 | semidirect |
| 42. M32×C47 | C22 | semidirect |
| 144. D47 | #510 | direct (N × H) |
| 152. #510 | D47 | direct (N × H) |
| 156. C47 | C2×#510 | semidirect |
| 172. C2×Q16 | C2×D47 | semidirect |
| 179. Q32 | C2×D47 | semidirect |
| 183. SD32 | C2×D47 | semidirect |
| 186. M32 | C2×D47 | semidirect |