Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 5. #15689406 | C2 | semidirect |
| 6. #15689331 | C2 | semidirect |
| 8. #15689230 | C2 | semidirect |
| 9. #15689227 | C2 | semidirect |
| 139. C47 | #3113 | semidirect |