Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #15689489 | C2 | semidirect |
| 3. #15689485 | C2 | semidirect |
| 4. #15689480 | C2 | semidirect |
| 5. #15689471 | C2 | semidirect |
| 6. #15689127 | C2 | semidirect |
| 7. #15689122 | C2 | semidirect |
| 8. #15689117 | C2 | semidirect |
| 9. C2×#13093944 | C2 | semidirect |
| 10. #15689079 | C2 | semidirect |
| 11. C47×#544 | C2 | semidirect |
| 21. #13093947 | C22 | semidirect |
| 22. #13093947 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 28. #13093944 | C22 | semidirect |
| 29. #13093944 | C22 | semidirect |
| 30. #13093944 | C22 | semidirect |
| 31. #13093935 | C22 | semidirect |
| 32. C4×C47⋊C8 | C22 | semidirect |
| 34. C4⋊Q8×C47 | C22 | semidirect |
| 36. #125×C47 | C22 | semidirect |
| 136. #544 | D47 | semidirect |
| 147. C47 | #3136 | semidirect |
| 153. C4⋊Q8 | C2×D47 | semidirect |
| 156. #125 | C2×D47 | semidirect |