Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689601 | C2 | semidirect |
| 4. #15689347 | C2 | semidirect |
| 5. #15689331 | C2 | semidirect |
| 6. #15689149 | C2 | semidirect |
| 7. #15689132 | C2 | semidirect |
| 9. C22×Q16×C47 | C2 | semidirect |
| 113. C22×Q16 | D47 | semidirect |
| 121. C47 | #3044 | semidirect |