Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #15689515 | C2 | semidirect |
| 4. #15689345 | C2 | semidirect |
| 5. #15689330 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 9. #15689221 | C2 | semidirect |
| 10. C4×#10625337 | C2 | semidirect |
| 11. C47×#557 | C2 | semidirect |
| 123. #557 | D47 | semidirect |
| 133. C47 | #3400 | semidirect |