Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
752 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#13094054 | C2 | semidirect |
| 2. C22×#10625335 | C2 | semidirect |
| 3. #15689694 | C2 | semidirect |
| 4. #15689285 | C2 | semidirect |
| 5. #15689274 | C2 | semidirect |
| 6. #15689128 | C2 | semidirect |
| 7. #15689119 | C2 | semidirect |
| 8. #15689090 | C2 | semidirect |
| 10. C22×Dic94 | C22 | semidirect |
| 12. C2×#10625337 | C22 | semidirect |
| 14. C2×#10625335 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 16. C2×#10625329 | C22 | semidirect |
| 17. C22×C47⋊C8 | C22 | semidirect |
| 21. #13094003 | C22 | semidirect |
| 22. #13093983 | C22 | semidirect |
| 23. #13093948 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 25. #13093945 | C22 | semidirect |
| 26. C22⋊(C47⋊C8) | C22 | semidirect |
| 156. C47 | #3009 | semidirect |