Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. #15689754 | C2 | semidirect |
| 3. #15689486 | C2 | semidirect |
| 4. #15689484 | C2 | semidirect |
| 5. #15689479 | C2 | semidirect |
| 6. #15689468 | C2 | semidirect |
| 7. #15689129 | C2 | semidirect |
| 8. #15689119 | C2 | semidirect |
| 9. C2×#13093944 | C2 | semidirect |
| 10. #15689081 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 15. #13094023 | C22 | semidirect |
| 18. #13094015 | C22 | semidirect |
| 26. #13093948 | C22 | semidirect |
| 27. #13093948 | C22 | semidirect |
| 30. #13093945 | C22 | semidirect |
| 31. #13093945 | C22 | semidirect |
| 34. #13093934 | C22 | semidirect |
| 35. C8×Dic47 | C22 | semidirect |
| 39. #103×C47 | C22 | semidirect |
| 40. #102×C47 | C22 | semidirect |
| 143. #417 | D47 | semidirect |
| 147. C47 | #3136 | semidirect |
| 167. #103 | C2×D47 | semidirect |
| 174. #102 | C2×D47 | semidirect |