Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689735 | C2 | semidirect |
| 2. #15689518 | C2 | semidirect |
| 3. #15689495 | C2 | semidirect |
| 4. #15689487 | C2 | semidirect |
| 5. #15689477 | C2 | semidirect |
| 6. #15689342 | C2 | semidirect |
| 7. #15689320 | C2 | semidirect |
| 8. #15689285 | C2 | semidirect |
| 9. #15689274 | C2 | semidirect |
| 10. #15689184 | C2 | semidirect |
| 12. C2×#10625337 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 16. #13094024 | C22 | semidirect |
| 18. #13094016 | C22 | semidirect |
| 21. C4×Dic94 | C22 | semidirect |
| 22. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #13093948 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 28. #13093935 | C22 | semidirect |
| 29. C4×C47⋊C8 | C22 | semidirect |
| 134. C47 | #3222 | semidirect |