Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19097764 | C2 | semidirect |
| 2. #19097764 | C2 | semidirect |
| 3. #19097757 | C2 | semidirect |
| 4. #19097755 | C2 | semidirect |
| 5. #19097754 | C2 | semidirect |
| 6. #19097753 | C2 | semidirect |
| 7. #19097750 | C2 | semidirect |
| 8. #19097748 | C2 | semidirect |
| 10. C4×C22⋊D157 | C2 | semidirect |
| 11. #19097731 | C2 | semidirect |
| 12. #19097730 | C2 | semidirect |
| 13. #19097727 | C2 | semidirect |
| 14. C2×C22⋊Dic157 | C2 | semidirect |
| 15. C2×C22⋊C4×C157 | C2 | semidirect |
| 16. C2×Dic314 | C22 | semidirect |
| 22. C2×C4×D157 | C22 | semidirect |
| 23. C4⋊Dic157 | C22 | semidirect |
| 24. C4⋊Dic157 | C22 | semidirect |
| 25. C4⋊Dic157 | C22 | semidirect |
| 26. #14578933 | C22 | semidirect |
| 27. #14578933 | C22 | semidirect |
| 28. #14578933 | C22 | semidirect |
| 29. #14578933 | C22 | semidirect |
| 30. #14578933 | C22 | semidirect |
| 38. #14578931 | C22 | semidirect |
| 39. #14578931 | C22 | semidirect |
| 40. #14578931 | C22 | semidirect |
| 41. C4×Dic157 | C22 | semidirect |
| 42. C4×Dic157 | C22 | semidirect |
| 43. C4×Dic157 | C22 | semidirect |
| 110. C157 | #551 | semidirect |
| 126. C2×C22⋊C4 | D157 | semidirect |