Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#13093982 | C2 | semidirect |
| 3. #15689463 | C2 | semidirect |
| 4. #15689451 | C2 | semidirect |
| 5. #15689450 | C2 | semidirect |
| 6. #15689441 | C2 | semidirect |
| 7. #15689437 | C2 | semidirect |
| 8. #15689160 | C2 | semidirect |
| 9. #15689118 | C2 | semidirect |
| 10. C22⋊C8×D47 | C2 | semidirect |
| 11. C47×#484 | C2 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093955 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 40. #107×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 147. #484 | D47 | semidirect |
| 155. C47 | #3091 | semidirect |
| 177. #107 | C2×D47 | semidirect |
| 181. #103 | C2×D47 | semidirect |