Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #15689921 | C2 | semidirect |
| 2. C2×#13094052 | C2 | semidirect |
| 3. C2×#13094049 | C2 | semidirect |
| 4. #15689393 | C2 | semidirect |
| 5. #15689386 | C2 | semidirect |
| 6. #15689172 | C2 | semidirect |
| 7. #15689105 | C2 | semidirect |
| 8. C2×#13093940 | C2 | semidirect |
| 9. C47×#568 | C2 | semidirect |
| 13. #13094054 | C22 | semidirect |
| 19. #13094049 | C22 | semidirect |
| 21. C2×#10625325 | C22 | semidirect |
| 23. C2×D376 | C22 | semidirect |
| 27. #13093960 | C22 | semidirect |
| 28. #13093942 | C22 | semidirect |
| 29. #13093940 | C22 | semidirect |
| 30. #13093940 | C22 | semidirect |
| 33. #131×C47 | C22 | semidirect |
| 151. #568 | D47 | semidirect |
| 157. C47 | #3068 | semidirect |
| 175. #131 | C2×D47 | semidirect |