Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 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. #19097817 | C2 | semidirect |
| 2. #19097816 | C2 | semidirect |
| 3. #19097799 | C2 | semidirect |
| 4. #19097798 | C2 | semidirect |
| 5. #19097795 | C2 | semidirect |
| 6. #19097792 | C2 | semidirect |
| 7. #19097791 | C2 | semidirect |
| 8. C2×#14578939 | C2 | semidirect |
| 9. D8×D157 | C2 | semidirect |
| 10. #19097779 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C157 | C2 | semidirect |
| 12. #14578955 | C22 | semidirect |
| 15. #14578954 | C22 | semidirect |
| 17. #14578953 | C22 | semidirect |
| 19. C2×D628 | C22 | semidirect |
| 23. D4×D157 | C22 | semidirect |
| 24. D4×D157 | C22 | semidirect |
| 25. #14578944 | C22 | semidirect |
| 26. #14578943 | C22 | semidirect |
| 27. #14578942 | C22 | semidirect |
| 28. #14578941 | C22 | semidirect |
| 29. D1256 | C22 | semidirect |
| 30. #14578939 | C22 | semidirect |
| 31. #14578939 | C22 | semidirect |
| 32. #14578939 | C22 | semidirect |
| 33. #14578937 | C22 | semidirect |
| 34. C2×#11929434 | C22 | semidirect |
| 35. C8×D157 | C22 | semidirect |
| 36. #41×C157 | C22 | semidirect |
| 37. C2×D4×C157 | C22 | semidirect |
| 38. SD16×C157 | C22 | semidirect |
| 39. D8×C157 | C22 | semidirect |
| 40. M16×C157 | C22 | semidirect |
| 93. C157 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D157 | semidirect |
| 112. #41 | C2×D157 | semidirect |
| 120. C2×D4 | C2×D157 | semidirect |
| 125. SD16 | C2×D157 | semidirect |
| 130. D8 | C2×D157 | semidirect |
| 132. M16 | C2×D157 | semidirect |