Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 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. C2×#13094043 | C2 | semidirect |
| 2. #135×D47 | C2 | semidirect |
| 3. #15689566 | C2 | semidirect |
| 4. #15689563 | C2 | semidirect |
| 5. #15689562 | C2 | semidirect |
| 6. #15689559 | C2 | semidirect |
| 7. #15689557 | C2 | semidirect |
| 8. #15689554 | C2 | semidirect |
| 9. #15689552 | C2 | semidirect |
| 10. M32×D47 | C2 | semidirect |
| 11. C47×#509 | C2 | semidirect |
| 14. #13094047 | C22 | semidirect |
| 21. #13094043 | C22 | semidirect |
| 22. #13094043 | C22 | semidirect |
| 23. C2×Dic188 | C22 | semidirect |
| 24. Q16×D47 | C22 | semidirect |
| 27. D8×D47 | C22 | semidirect |
| 29. Dic376 | C22 | semidirect |
| 30. #13093970 | C22 | semidirect |
| 31. #13093969 | C22 | semidirect |
| 32. #13093968 | C22 | semidirect |
| 33. #13093968 | C22 | semidirect |
| 34. #13093965 | C22 | semidirect |
| 35. #13093964 | C22 | semidirect |
| 36. #13093963 | C22 | semidirect |
| 37. C16×D47 | C22 | semidirect |
| 39. C2×D8×C47 | C22 | semidirect |
| 40. SD32×C47 | C22 | semidirect |
| 41. D16×C47 | C22 | semidirect |
| 42. M32×C47 | C22 | semidirect |
| 154. #509 | D47 | semidirect |
| 158. C47 | #3414 | semidirect |
| 176. C2×D8 | C2×D47 | semidirect |
| 183. SD32 | C2×D47 | semidirect |
| 185. D16 | C2×D47 | semidirect |
| 188. M32 | C2×D47 | semidirect |