Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
450 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689657 | C2 | semidirect |
| 2. #15689453 | C2 | semidirect |
| 3. #15689436 | C2 | semidirect |
| 4. #15689423 | C2 | semidirect |
| 5. #15689338 | C2 | semidirect |
| 6. #15689274 | C2 | semidirect |
| 8. #15689233 | C2 | semidirect |
| 9. #15689223 | C2 | semidirect |
| 10. #15689180 | C2 | semidirect |
| 11. C2×C4×D4×C47 | C2 | semidirect |
| 15. #13094016 | C22 | semidirect |
| 16. #13094012 | C22 | semidirect |
| 20. C4×Dic94 | C22 | semidirect |
| 21. C4×D188 | C22 | semidirect |
| 24. #13093957 | C22 | semidirect |
| 25. #13093955 | C22 | semidirect |
| 26. C4⋊(C47⋊C8) | C22 | semidirect |
| 27. #13093947 | C22 | semidirect |
| 30. #13093944 | C22 | semidirect |
| 33. #13093935 | C22 | semidirect |
| 142. C2×C4×D4 | D47 | semidirect |
| 152. C47 | #3114 | semidirect |