Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
596 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 135 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×D8×D47 | C2 | semidirect |
| 2. C2×M16×D47 | C2 | semidirect |
| 3. #121×D47 | C2 | semidirect |
| 4. #15689377 | C2 | semidirect |
| 5. #15689376 | C2 | semidirect |
| 6. #15689375 | C2 | semidirect |
| 7. #15689374 | C2 | semidirect |
| 8. #15689373 | C2 | semidirect |
| 9. #106×D47 | C2 | semidirect |
| 10. #102×D47 | C2 | semidirect |
| 11. C47×#469 | C2 | semidirect |
| 15. C2×D376 | C22 | semidirect |
| 16. C2×#10625334 | C22 | semidirect |
| 18. C2×#10625329 | C22 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 20. C2×#10625324 | C22 | semidirect |
| 24. #13093999 | C22 | semidirect |
| 25. #13093998 | C22 | semidirect |
| 28. #13093995 | C22 | semidirect |
| 31. #13093956 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093945 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 36. C2×D8×C47 | C22 | semidirect |
| 37. C2×M16×C47 | C22 | semidirect |
| 38. #121×C47 | C22 | semidirect |
| 39. #106×C47 | C22 | semidirect |
| 40. #102×C47 | C22 | semidirect |
| 81. C8×D47 | D4 | semidirect |
| 118. C8×C47 | C2×D4 | semidirect |
| 120. C47⋊C8 | C2×D4 | semidirect |
| 150. D47 | #469 | direct (N × H) |
| 159. #469 | D47 | direct (N × H) |
| 162. C47 | C2×#469 | semidirect |
| 169. C2×D8 | C2×D47 | semidirect |
| 174. C2×M16 | C2×D47 | semidirect |
| 182. #121 | C2×D47 | semidirect |
| 187. #106 | C2×D47 | semidirect |
| 191. #102 | C2×D47 | semidirect |
| 271. C8 | D4×D47 | semidirect |