Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689606 | C2 | semidirect |
| 2. #15689444 | C2 | semidirect |
| 3. #15689444 | C2 | semidirect |
| 4. #15689439 | C2 | semidirect |
| 5. #15689434 | C2 | semidirect |
| 6. #15689166 | C2 | semidirect |
| 7. #15689159 | C2 | semidirect |
| 8. #15689128 | C2 | semidirect |
| 9. C2×#13093945 | C2 | semidirect |
| 10. #15689090 | C2 | semidirect |
| 18. #13093983 | C22 | semidirect |
| 20. C2×C4⋊Dic47 | C22 | semidirect |
| 21. #13093957 | C22 | semidirect |
| 22. #13093957 | C22 | semidirect |
| 23. #13093957 | C22 | semidirect |
| 24. #13093955 | C22 | semidirect |
| 25. #13093955 | C22 | semidirect |
| 26. #13093955 | C22 | semidirect |
| 31. C22⋊(C47⋊C8) | C22 | semidirect |
| 32. C22⋊(C47⋊C8) | C22 | semidirect |
| 146. C47 | #3096 | semidirect |