Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
258 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 258 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 |
|---|---|---|
| 2. C2×Q8×D157 | C2 | semidirect |
| 3. #19097804 | C2 | semidirect |
| 4. #19097803 | C2 | semidirect |
| 5. #19097802 | C2 | semidirect |
| 6. #19097801 | C2 | semidirect |
| 7. #19097800 | C2 | semidirect |
| 8. Q16×D157 | C2 | semidirect |
| 9. SD16×D157 | C2 | semidirect |
| 10. M16×D157 | C2 | semidirect |
| 11. #137×C157 | C2 | semidirect |
| 18. C2×Dic314 | C22 | semidirect |
| 23. Q8×D157 | C22 | semidirect |
| 29. Dic628 | C22 | semidirect |
| 30. #14578944 | C22 | semidirect |
| 31. #14578944 | C22 | semidirect |
| 32. #14578943 | C22 | semidirect |
| 33. #14578942 | C22 | semidirect |
| 34. #14578941 | C22 | semidirect |
| 35. #14578938 | C22 | semidirect |
| 36. #14578937 | C22 | semidirect |
| 39. C2×Q8×C157 | C22 | semidirect |
| 40. Q16×C157 | C22 | semidirect |
| 41. SD16×C157 | C22 | semidirect |
| 42. M16×C157 | C22 | semidirect |
| 98. D157 | #137 | direct (N × H) |
| 99. C157 | C2×#137 | semidirect |
| 108. #137 | D157 | direct (N × H) |
| 125. C2×Q8 | C2×D157 | semidirect |
| 134. Q16 | C2×D157 | semidirect |
| 138. SD16 | C2×D157 | semidirect |
| 141. M16 | C2×D157 | semidirect |