Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. #15689676 | C2 | semidirect |
| 3. #15689490 | C2 | semidirect |
| 4. #15689486 | C2 | semidirect |
| 5. #15689484 | C2 | semidirect |
| 6. #15689481 | C2 | semidirect |
| 7. #15689120 | C2 | semidirect |
| 8. #15689119 | C2 | semidirect |
| 9. #15689117 | C2 | semidirect |
| 10. C2×#13093934 | C2 | semidirect |
| 11. C47×#416 | C2 | semidirect |
| 135. #416 | D47 | semidirect |
| 137. C47 | #3135 | semidirect |