Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094052 | C2 | semidirect |
| 2. #15689701 | C2 | semidirect |
| 3. #15689687 | C2 | semidirect |
| 4. #15689376 | C2 | semidirect |
| 5. #15689369 | C2 | semidirect |
| 6. #15689359 | C2 | semidirect |
| 7. #15689352 | C2 | semidirect |
| 8. #15689165 | C2 | semidirect |
| 9. #15689120 | C2 | semidirect |
| 10. C2×#13093946 | C2 | semidirect |
| 11. C2×#131×C47 | C2 | semidirect |
| 19. #13094003 | C22 | semidirect |
| 23. #13093998 | C22 | semidirect |
| 29. #13093958 | C22 | semidirect |
| 30. #13093956 | C22 | semidirect |
| 31. #13093949 | C22 | semidirect |
| 32. #13093949 | C22 | semidirect |
| 35. #13093946 | C22 | semidirect |
| 36. #13093946 | C22 | semidirect |
| 40. C2×M16×C47 | C22 | semidirect |
| 42. C22×C8×C47 | C22 | semidirect |
| 66. M16×C47 | D4 | semidirect |
| 153. C2×#131 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |
| 172. C2×M16 | C2×D47 | semidirect |
| 174. C22×C8 | C2×D47 | semidirect |
| 220. M16 | C22⋊D47 | semidirect |