Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 466 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. #15689636 | C2 | semidirect |
| 2. C2×#13093995 | C2 | semidirect |
| 3. #15689451 | C2 | semidirect |
| 4. #15689445 | C2 | semidirect |
| 5. #15689437 | C2 | semidirect |
| 6. #15689375 | C2 | semidirect |
| 7. #15689366 | C2 | semidirect |
| 8. #15689267 | C2 | semidirect |
| 9. #15689257 | C2 | semidirect |
| 10. #15689085 | C2 | semidirect |
| 11. C47×#450 | C2 | semidirect |
| 12. C2×#10625354 | C22 | semidirect |
| 15. C2×#10625334 | C22 | semidirect |
| 16. C2×#10625324 | C22 | semidirect |
| 18. #13094000 | C22 | semidirect |
| 19. #13093999 | C22 | semidirect |
| 28. #13093982 | C22 | semidirect |
| 31. #13093958 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 37. (C2×D47)⋊C8 | C22 | semidirect |
| 39. C2×SD16×C47 | C22 | semidirect |
| 41. #102×C47 | C22 | semidirect |
| 166. #450 | D47 | semidirect |
| 170. C47 | #3194 | semidirect |
| 175. C2×SD16 | C2×D47 | semidirect |
| 198. #102 | C2×D47 | semidirect |