Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
398 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 149 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. #15689751 | C2 | semidirect |
| 2. #15689423 | C2 | semidirect |
| 3. #15689423 | C2 | semidirect |
| 4. #15689413 | C2 | semidirect |
| 5. #15689403 | C2 | semidirect |
| 6. #15689166 | C2 | semidirect |
| 7. #15689159 | C2 | semidirect |
| 8. #15689150 | C2 | semidirect |
| 14. #13094024 | C22 | semidirect |
| 16. #13094016 | 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 |
| 27. C4⋊(C47⋊C8) | C22 | semidirect |
| 28. C4⋊(C47⋊C8) | C22 | semidirect |
| 44. C2×D4×C47 | Q8 | semidirect |
| 136. C47 | #3081 | semidirect |
| 170. C2×D4 | Dic94 | semidirect |