Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 2. #15689697 | C2 | semidirect |
| 3. #15689606 | C2 | semidirect |
| 4. #15689347 | C2 | semidirect |
| 5. #15689340 | C2 | semidirect |
| 6. #15689331 | C2 | semidirect |
| 7. #15689326 | C2 | semidirect |
| 8. #15689151 | C2 | semidirect |
| 9. #15689125 | C2 | semidirect |
| 10. C2×#13093948 | C2 | semidirect |
| 11. C2×#137×C47 | C2 | semidirect |
| 147. C2×#137 | D47 | semidirect |
| 158. C47 | #3046 | semidirect |