Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
258 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 258 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. #19097818 | C2 | semidirect |
| 2. #19097817 | C2 | semidirect |
| 3. #19097803 | C2 | semidirect |
| 4. #19097801 | C2 | semidirect |
| 5. #19097796 | C2 | semidirect |
| 6. #19097795 | C2 | semidirect |
| 7. #19097792 | C2 | semidirect |
| 8. C2×#14578943 | C2 | semidirect |
| 9. SD16×D157 | C2 | semidirect |
| 10. #19097777 | C2 | semidirect |
| 11. #135×C157 | C2 | semidirect |
| 17. #14578953 | C22 | semidirect |
| 19. C2×Dic314 | C22 | semidirect |
| 20. Q8×D157 | C22 | semidirect |
| 25. #14578944 | C22 | semidirect |
| 26. #14578943 | C22 | semidirect |
| 27. #14578943 | C22 | semidirect |
| 28. #14578942 | C22 | semidirect |
| 29. #14578941 | C22 | semidirect |
| 30. #14578939 | C22 | semidirect |
| 31. #14578938 | C22 | semidirect |
| 32. #14578937 | C22 | semidirect |
| 33. C8×D157 | C22 | semidirect |
| 35. #41×C157 | C22 | semidirect |
| 36. Q16×C157 | C22 | semidirect |
| 37. SD16×C157 | C22 | semidirect |
| 38. SD16×C157 | C22 | semidirect |
| 39. D8×C157 | C22 | semidirect |
| 40. C2×C8×C157 | C22 | semidirect |
| 90. C157 | #577 | semidirect |
| 99. #135 | D157 | semidirect |
| 110. #41 | C2×D157 | semidirect |
| 119. Q16 | C2×D157 | semidirect |
| 124. SD16 | C2×D157 | semidirect |
| 125. SD16 | C2×D157 | semidirect |
| 127. D8 | C2×D157 | semidirect |
| 131. C2×C8 | C2×D157 | semidirect |