Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
440 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 135 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. #15689676 | C2 | semidirect |
| 3. #15689426 | C2 | semidirect |
| 4. #15689422 | C2 | semidirect |
| 5. #15689412 | C2 | semidirect |
| 6. #15689402 | C2 | semidirect |
| 7. #15689163 | C2 | semidirect |
| 8. #15689146 | C2 | semidirect |
| 11. C47×#428 | C2 | semidirect |
| 15. #13094023 | C22 | semidirect |
| 16. #13094023 | C22 | semidirect |
| 17. #13094015 | C22 | semidirect |
| 18. #13094015 | C22 | semidirect |
| 30. #13093957 | C22 | semidirect |
| 31. #13093955 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. Dic47⋊C8 | C22 | semidirect |
| 41. #107×C47 | C22 | semidirect |
| 42. #106×C47 | C22 | semidirect |
| 50. C2×D188 | Q8 | semidirect |
| 146. #428 | D47 | semidirect |
| 150. C47 | #3077 | semidirect |
| 173. #107 | C2×D47 | semidirect |
| 175. #106 | C2×D47 | semidirect |