Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094032 | C2 | semidirect |
| 2. #15689701 | C2 | semidirect |
| 3. #15689690 | C2 | semidirect |
| 4. #15689373 | C2 | semidirect |
| 5. #15689366 | C2 | semidirect |
| 6. #15689356 | C2 | semidirect |
| 7. #15689349 | C2 | semidirect |
| 8. #15689165 | C2 | semidirect |
| 9. #15689119 | C2 | semidirect |
| 10. C2×#13093945 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 14. C2×#10625324 | C22 | semidirect |
| 16. C2×C8×D47 | C22 | semidirect |
| 20. #13094000 | C22 | semidirect |
| 25. #13093995 | C22 | semidirect |
| 29. #13093958 | C22 | semidirect |
| 30. #13093956 | C22 | semidirect |
| 31. #13093948 | C22 | semidirect |
| 32. #13093948 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 36. #13093945 | C22 | semidirect |
| 67. M16×C47 | D4 | semidirect |
| 152. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 163. C47 | #3062 | semidirect |
| 220. M16 | C22⋊D47 | semidirect |