Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689925 | C2 | semidirect |
| 2. #15689560 | C2 | semidirect |
| 3. #15689558 | C2 | semidirect |
| 4. #15689556 | C2 | semidirect |
| 5. C2×D752 | C2 | semidirect |
| 6. D16×D47 | C2 | semidirect |
| 7. #15689539 | C2 | semidirect |
| 8. C47×#508 | C2 | semidirect |
| 12. #13094047 | C22 | semidirect |
| 13. C2×D376 | C22 | semidirect |
| 14. D8×D47 | C22 | semidirect |
| 16. #13093967 | C22 | semidirect |
| 17. D752 | C22 | semidirect |
| 18. D752 | C22 | semidirect |
| 19. #13093965 | C22 | semidirect |
| 20. #13093964 | C22 | semidirect |
| 21. #13093963 | C22 | semidirect |
| 22. C16×D47 | C22 | semidirect |
| 23. #135×C47 | C22 | semidirect |
| 24. Q32×C47 | C22 | semidirect |
| 25. SD32×C47 | C22 | semidirect |
| 26. D16×C47 | C22 | semidirect |
| 27. C2×C16×C47 | C22 | semidirect |
| 89. #508 | D47 | semidirect |
| 93. C47 | #3415 | semidirect |
| 98. #135 | C2×D47 | semidirect |
| 102. Q32 | C2×D47 | semidirect |
| 104. SD32 | C2×D47 | semidirect |
| 108. D16 | C2×D47 | semidirect |
| 112. C2×C16 | C2×D47 | semidirect |