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. #15689116 | C2 | direct (N × H) |
| 5. C2×#13093949 | C2 | semidirect |
| 6. C2×#13093947 | C2 | semidirect |
| 7. C2×#13093945 | C2 | semidirect |
| 8. C2×#102×C47 | C2 | semidirect |
| 11. C2×#10625352 | C4 | semidirect |
| 19. C2×C8×D47 | C22 | semidirect |
| 21. #13093982 | C22 | semidirect |
| 25. #13093949 | C22 | semidirect |
| 26. #13093947 | C22 | semidirect |
| 27. #13093945 | C22 | semidirect |
| 31. #102×C47 | C22 | semidirect |
| 49. #10625352 | C2×C4 | semidirect |
| 124. C2×C47 | #416 | semidirect |
| 136. C2×#102 | D47 | semidirect |
| 137. C47 | C2×#416 | semidirect |
| 160. #102 | C2×D47 | semidirect |
| 253. C2 | #15689116 | direct (N × H) |