Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
792 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 229 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. C22×C8×D47 | C2 | semidirect |
| 3. C2×#13093982 | C2 | semidirect |
| 4. #15689118 | C2 | direct (N × H) |
| 5. C2×#13093948 | C2 | semidirect |
| 6. C2×#13093946 | C2 | semidirect |
| 7. C2×#13093944 | C2 | semidirect |
| 8. C2×#103×C47 | C2 | semidirect |
| 11. C2×#10625354 | C4 | semidirect |
| 19. C2×C8×D47 | C22 | semidirect |
| 21. #13093982 | C22 | semidirect |
| 25. #13093948 | C22 | semidirect |
| 26. #13093946 | C22 | semidirect |
| 27. #13093944 | C22 | semidirect |
| 31. #103×C47 | C22 | semidirect |
| 45. #10625354 | C2×C4 | semidirect |
| 123. C2×C47 | #416 | semidirect |
| 134. C2×#103 | D47 | semidirect |
| 137. C47 | C2×#416 | semidirect |
| 158. #103 | C2×D47 | semidirect |
| 253. C2 | #15689118 | direct (N × H) |