Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #15689740 | C2 | semidirect |
| 2. #15689520 | C2 | semidirect |
| 3. #15689506 | C2 | semidirect |
| 4. #15689481 | C2 | semidirect |
| 5. #15689381 | C2 | semidirect |
| 6. #15689350 | C2 | semidirect |
| 7. #15689235 | C2 | semidirect |
| 8. #15689229 | C2 | semidirect |
| 9. #15689214 | C2 | semidirect |
| 10. #15689081 | C2 | semidirect |
| 121. C47 | #3173 | semidirect |