Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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. #15689603 | C2 | semidirect |
| 3. #15689446 | C2 | semidirect |
| 4. #15689445 | C2 | semidirect |
| 5. #15689440 | C2 | semidirect |
| 6. #15689435 | C2 | semidirect |
| 7. #15689165 | C2 | semidirect |
| 8. #15689159 | C2 | semidirect |
| 9. C2×#13093945 | C2 | semidirect |
| 10. #15689091 | C2 | semidirect |
| 11. C47×#418 | C2 | semidirect |
| 23. #13093982 | C22 | semidirect |
| 25. C4⋊C4×D47 | C22 | semidirect |
| 26. #13093958 | C22 | semidirect |
| 27. #13093957 | C22 | semidirect |
| 28. #13093957 | C22 | semidirect |
| 29. #13093956 | C22 | semidirect |
| 30. #13093955 | C22 | semidirect |
| 31. #13093955 | C22 | semidirect |
| 34. (C2×D47)⋊C8 | C22 | semidirect |
| 35. (C2×D47)⋊C8 | C22 | semidirect |
| 143. #418 | D47 | semidirect |
| 146. C47 | #3096 | semidirect |