Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13093998 | C2 | semidirect |
| 2. #15689456 | C2 | semidirect |
| 3. #15689447 | C2 | semidirect |
| 4. #15689439 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689354 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689268 | C2 | semidirect |
| 9. #15689256 | C2 | semidirect |
| 10. C2×C22⋊(C47⋊C8) | C2 | semidirect |
| 11. C47×#525 | C2 | semidirect |
| 14. C2×#10625336 | C22 | semidirect |
| 15. C2×#10625334 | C22 | semidirect |
| 16. C22×C47⋊C8 | C22 | semidirect |
| 23. #13093957 | C22 | semidirect |
| 24. #13093955 | C22 | semidirect |
| 25. #13093948 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 27. #13093944 | C22 | semidirect |
| 28. #13093944 | C22 | semidirect |
| 31. C22⋊(C47⋊C8) | C22 | semidirect |
| 32. C2×#41×C47 | C22 | semidirect |
| 36. C22⋊Q8×C47 | C22 | semidirect |
| 38. #121×C47 | C22 | semidirect |
| 42. #117×C47 | C22 | semidirect |
| 159. #525 | D47 | semidirect |
| 170. C47 | #3188 | semidirect |
| 171. C2×#41 | C2×D47 | semidirect |
| 180. C22⋊Q8 | C2×D47 | semidirect |
| 186. #121 | C2×D47 | semidirect |
| 190. #117 | C2×D47 | semidirect |