Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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. #15689657 | C2 | semidirect |
| 2. #15689525 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. #15689478 | C2 | semidirect |
| 5. #15689381 | C2 | semidirect |
| 7. #15689369 | C2 | semidirect |
| 8. #15689236 | C2 | semidirect |
| 9. #15689231 | C2 | semidirect |
| 10. #15689225 | C2 | semidirect |
| 11. C4×M16×C47 | C2 | semidirect |
| 120. C4×M16 | D47 | semidirect |
| 121. C47 | #3183 | semidirect |