Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689673 | C2 | semidirect |
| 2. #15689533 | C2 | semidirect |
| 3. #15689513 | C2 | semidirect |
| 4. #15689489 | C2 | semidirect |
| 5. #15689482 | C2 | semidirect |
| 6. #15689357 | C2 | semidirect |
| 7. #15689354 | C2 | semidirect |
| 8. #15689233 | C2 | semidirect |
| 9. #15689221 | C2 | semidirect |
| 10. C2×#13093935 | C2 | semidirect |
| 11. C47×#529 | C2 | semidirect |
| 110. C47⋊C8 | #41 | semidirect |
| 139. #529 | D47 | semidirect |
| 149. C47 | #3180 | semidirect |