Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#13094023 | C2 | semidirect |
| 3. #15689520 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689442 | C2 | semidirect |
| 6. #15689441 | C2 | semidirect |
| 7. #15689439 | C2 | semidirect |
| 8. #15689412 | C2 | semidirect |
| 9. #15689411 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#481 | C2 | semidirect |
| 145. #481 | D47 | semidirect |
| 149. C47 | #3227 | semidirect |