Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689687 | C2 | semidirect |
| 2. #15689447 | C2 | semidirect |
| 3. #15689444 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689257 | C2 | semidirect |
| 7. #15689256 | C2 | semidirect |
| 8. #15689090 | C2 | semidirect |
| 9. C47×#535 | C2 | semidirect |
| 10. C22×D188 | C22 | semidirect |
| 13. C2×#10625329 | C22 | semidirect |
| 14. C22×C47⋊C8 | C22 | semidirect |
| 18. #13093998 | C22 | semidirect |
| 21. #13093983 | C22 | semidirect |
| 22. #13093957 | C22 | semidirect |
| 23. #13093955 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 25. #13093945 | C22 | semidirect |
| 26. #13093944 | C22 | semidirect |
| 27. #13093944 | C22 | semidirect |
| 28. C22⋊(C47⋊C8) | C22 | semidirect |
| 29. C22⋊(C47⋊C8) | C22 | semidirect |
| 31. C22×D4×C47 | C22 | semidirect |
| 35. #121×C47 | C22 | semidirect |
| 38. #117×C47 | C22 | semidirect |
| 146. #535 | D47 | semidirect |
| 154. C47 | #3199 | semidirect |
| 157. C22×D4 | C2×D47 | semidirect |
| 169. #121 | C2×D47 | semidirect |
| 175. #117 | C2×D47 | semidirect |