Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#13094015 | C2 | semidirect |
| 3. #15689432 | C2 | semidirect |
| 4. #15689428 | C2 | semidirect |
| 5. #15689425 | C2 | semidirect |
| 6. #15689421 | C2 | semidirect |
| 7. #15689165 | C2 | semidirect |
| 8. #15689163 | C2 | semidirect |
| 9. #15689146 | C2 | semidirect |
| 147. C47 | #3080 | semidirect |