Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 1. #15689659 | C2 | semidirect |
| 2. C2×D4×Dic47 | C2 | semidirect |
| 3. #15689451 | C2 | semidirect |
| 4. #15689437 | C2 | semidirect |
| 5. #15689421 | C2 | semidirect |
| 6. #15689340 | C2 | semidirect |
| 8. #15689232 | C2 | semidirect |
| 9. #15689224 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 11. C47×#450 | C2 | semidirect |
| 15. #13094015 | C22 | semidirect |
| 16. #13094013 | C22 | semidirect |
| 19. Q8×Dic47 | C22 | semidirect |
| 24. #13093986 | C22 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093955 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 37. #13093934 | C22 | semidirect |
| 147. #450 | D47 | semidirect |
| 152. C47 | #3114 | semidirect |