Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689937 | C2 | semidirect |
| 2. #15689924 | C2 | semidirect |
| 3. #15689566 | C2 | semidirect |
| 4. #15689562 | C2 | semidirect |
| 5. #15689557 | C2 | semidirect |
| 6. #15689553 | C2 | semidirect |
| 7. #15689552 | C2 | semidirect |
| 8. C2×#13093968 | C2 | semidirect |
| 9. SD32×D47 | C2 | semidirect |
| 10. #15689541 | C2 | semidirect |
| 11. C47×#509 | C2 | semidirect |
| 20. #13094043 | C22 | semidirect |
| 21. C2×Dic188 | C22 | semidirect |
| 22. Q16×D47 | C22 | semidirect |
| 25. Dic376 | C22 | semidirect |
| 26. #13093970 | C22 | semidirect |
| 27. #13093969 | C22 | semidirect |
| 28. #13093968 | C22 | semidirect |
| 29. #13093968 | C22 | semidirect |
| 30. #13093968 | C22 | semidirect |
| 31. #13093967 | C22 | semidirect |
| 32. #13093965 | C22 | semidirect |
| 33. #13093963 | C22 | semidirect |
| 34. C2×C47⋊C16 | C22 | semidirect |
| 35. C16×D47 | C22 | semidirect |
| 36. #135×C47 | C22 | semidirect |
| 38. SD32×C47 | C22 | semidirect |
| 39. D16×C47 | C22 | semidirect |
| 40. M32×C47 | C22 | semidirect |
| 132. #509 | D47 | semidirect |
| 138. C47 | #3416 | semidirect |
| 148. #135 | C2×D47 | semidirect |
| 161. SD32 | C2×D47 | semidirect |
| 163. D16 | C2×D47 | semidirect |
| 165. M32 | C2×D47 | semidirect |