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. #15689924 | C2 | semidirect |
| 2. #15689559 | C2 | semidirect |
| 3. #15689557 | C2 | semidirect |
| 4. #15689555 | C2 | semidirect |
| 5. #15689552 | C2 | semidirect |
| 6. D16×D47 | C2 | semidirect |
| 7. #15689539 | C2 | semidirect |
| 8. C2×D16×C47 | C2 | semidirect |
| 12. #13094046 | C22 | semidirect |
| 13. #13094043 | C22 | semidirect |
| 14. D8×D47 | C22 | semidirect |
| 16. Dic376 | C22 | semidirect |
| 17. #13093969 | C22 | semidirect |
| 18. #13093968 | C22 | semidirect |
| 19. D752 | C22 | semidirect |
| 20. #13093965 | C22 | semidirect |
| 21. #13093964 | C22 | semidirect |
| 22. #13093963 | C22 | semidirect |
| 23. C16×D47 | C22 | semidirect |
| 24. C2×D8×C47 | C22 | semidirect |
| 25. D16×C47 | C22 | semidirect |
| 26. D16×C47 | C22 | semidirect |
| 27. C2×C16×C47 | C22 | semidirect |
| 91. C2×D16 | D47 | semidirect |
| 93. C47 | #3415 | semidirect |
| 100. C2×D8 | C2×D47 | semidirect |
| 107. D16 | C2×D47 | semidirect |
| 108. D16 | C2×D47 | semidirect |
| 112. C2×C16 | C2×D47 | semidirect |