Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
232 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. M32×D47 | C2 | semidirect |
| 3. #106×D47 | C2 | semidirect |
| 4. #15688934 | C2 | semidirect |
| 5. #15688933 | C2 | semidirect |
| 6. #15688932 | C2 | semidirect |
| 7. C47×#360 | C2 | semidirect |
| 9. #13094047 | C4 | semidirect |
| 13. #13094043 | C4 | semidirect |
| 14. Q16×D47 | C4 | semidirect |
| 16. D8×D47 | C4 | semidirect |
| 19. #13093964 | C22 | semidirect |
| 22. #13093956 | C22 | semidirect |
| 25. M32×C47 | C22 | semidirect |
| 26. #106×C47 | C22 | semidirect |
| 39. Q16×C47 | C2×C4 | semidirect |
| 41. D8×C47 | C2×C4 | semidirect |
| 51. Dic188 | C2×C4 | semidirect |
| 52. D376 | C2×C4 | semidirect |
| 111. D47 | #360 | direct (N × H) |
| 118. #360 | D47 | direct (N × H) |
| 119. C47 | C2×#360 | semidirect |
| 134. M32 | C2×D47 | semidirect |
| 138. #106 | C2×D47 | semidirect |
| 153. Q16 | C4×D47 | semidirect |
| 160. D8 | C4×D47 | semidirect |