Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
300 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 3. #15689078 | C2 | semidirect |
| 4. C2×C8×Dic47 | C2 | semidirect |
| 5. #15688887 | C2 | semidirect |
| 6. #15688884 | C2 | semidirect |
| 12. #13093951 | C4 | semidirect |
| 13. #13093948 | C4 | semidirect |
| 14. #13093945 | C4 | semidirect |
| 20. #131×C47 | C4 | semidirect |
| 106. C47 | #1764 | semidirect |
| 109. #131 | Dic47 | semidirect |