Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #15689921 | C2 | semidirect |
| 2. C2×#13094050 | C2 | semidirect |
| 3. #15689889 | C2 | semidirect |
| 4. #15689390 | C2 | semidirect |
| 5. #15689383 | C2 | semidirect |
| 6. #15689172 | C2 | semidirect |
| 7. #15689107 | C2 | semidirect |
| 8. C2×#13093941 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 11. #13094055 | C22 | semidirect |
| 15. #13094050 | C22 | semidirect |
| 21. #13094030 | C22 | semidirect |
| 26. #13093960 | C22 | semidirect |
| 27. #13093943 | C22 | semidirect |
| 28. #13093941 | C22 | semidirect |
| 29. #13093941 | C22 | semidirect |
| 34. C2×SD16×C47 | C22 | semidirect |
| 35. C2×D8×C47 | C22 | semidirect |
| 150. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 157. C47 | #3068 | semidirect |
| 171. C2×SD16 | C2×D47 | semidirect |
| 173. C2×D8 | C2×D47 | semidirect |