Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689657 | C2 | semidirect |
| 2. #15689510 | C2 | semidirect |
| 3. #15689487 | C2 | semidirect |
| 4. #15689320 | C2 | semidirect |
| 5. #15689315 | C2 | semidirect |
| 6. #15689274 | C2 | semidirect |
| 7. #15689257 | C2 | semidirect |
| 8. #15689180 | C2 | semidirect |
| 9. C2×#127×C47 | C2 | semidirect |
| 10. C2×#10625335 | C22 | semidirect |
| 11. C2×#10625334 | C22 | semidirect |
| 13. #13094016 | C22 | semidirect |
| 14. #13094012 | C22 | semidirect |
| 18. C4×Dic94 | C22 | semidirect |
| 19. C4×D188 | C22 | semidirect |
| 22. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #13093945 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 26. #13093935 | C22 | semidirect |
| 128. C2×#127 | D47 | semidirect |
| 137. C47 | #3217 | semidirect |