Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 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. #15689751 | C2 | semidirect |
| 3. #15689426 | C2 | semidirect |
| 4. #15689422 | C2 | semidirect |
| 5. #15689412 | C2 | semidirect |
| 6. #15689402 | C2 | semidirect |
| 7. #15689166 | C2 | semidirect |
| 8. #15689149 | C2 | semidirect |
| 11. C47×#427 | C2 | semidirect |
| 15. #13094023 | C22 | semidirect |
| 17. #13094015 | C22 | semidirect |
| 26. #13093957 | C22 | semidirect |
| 27. #13093955 | C22 | semidirect |
| 28. Dic47⋊C8 | C22 | semidirect |
| 29. Dic47⋊C8 | C22 | semidirect |
| 37. #107×C47 | C22 | semidirect |
| 38. #107×C47 | C22 | semidirect |
| 39. #106×C47 | C22 | semidirect |
| 40. #106×C47 | C22 | semidirect |
| 46. C2×D188 | Q8 | semidirect |
| 132. #427 | D47 | semidirect |
| 136. C47 | #3081 | semidirect |
| 155. #107 | C2×D47 | semidirect |
| 156. #107 | C2×D47 | semidirect |
| 158. #106 | C2×D47 | semidirect |
| 159. #106 | C2×D47 | semidirect |