Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 2. C2×#13093982 | C2 | semidirect |
| 3. #15689463 | C2 | semidirect |
| 4. #15689462 | C2 | semidirect |
| 5. #15689446 | C2 | semidirect |
| 6. #15689445 | C2 | semidirect |
| 7. #15689165 | C2 | semidirect |
| 8. #15689163 | C2 | semidirect |
| 9. #15689124 | C2 | semidirect |
| 10. #15689086 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. #13093956 | C22 | semidirect |
| 33. #13093955 | C22 | semidirect |
| 34. #13093948 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 42. #102×C47 | C22 | semidirect |
| 162. #417 | D47 | semidirect |
| 164. C47 | #3093 | semidirect |
| 191. #103 | C2×D47 | semidirect |
| 193. #102 | C2×D47 | semidirect |