Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
266 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 101 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. #41×D157 | C2 | semidirect |
| 2. #19097794 | C2 | semidirect |
| 3. #19097793 | C2 | semidirect |
| 4. #19097792 | C2 | semidirect |
| 5. #19097791 | C2 | semidirect |
| 6. #19097790 | C2 | semidirect |
| 7. Q16×D157 | C2 | semidirect |
| 8. SD16×D157 | C2 | semidirect |
| 9. D8×D157 | C2 | semidirect |
| 10. C2×C8×D157 | C2 | semidirect |
| 11. #135×C157 | C2 | semidirect |
| 12. #14578955 | C22 | semidirect |
| 14. #14578954 | C22 | semidirect |
| 16. #14578953 | C22 | semidirect |
| 22. Dic628 | C22 | semidirect |
| 23. #14578944 | C22 | semidirect |
| 24. #14578943 | C22 | semidirect |
| 25. #14578942 | C22 | semidirect |
| 26. #14578941 | C22 | semidirect |
| 27. D1256 | C22 | semidirect |
| 28. #14578939 | C22 | semidirect |
| 29. C2×#11929434 | C22 | semidirect |
| 32. C8×D157 | C22 | semidirect |
| 33. C8×D157 | C22 | semidirect |
| 34. #41×C157 | C22 | semidirect |
| 35. Q16×C157 | C22 | semidirect |
| 36. SD16×C157 | C22 | semidirect |
| 37. D8×C157 | C22 | semidirect |
| 38. C2×C8×C157 | C22 | semidirect |
| 84. D157 | #135 | direct (N × H) |
| 85. C157 | C2×#135 | semidirect |
| 93. #135 | D157 | direct (N × H) |
| 103. #41 | C2×D157 | semidirect |
| 111. Q16 | C2×D157 | semidirect |
| 115. SD16 | C2×D157 | semidirect |
| 118. D8 | C2×D157 | semidirect |
| 124. C2×C8 | C2×D157 | semidirect |