Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
248 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19097766 | C2 | semidirect |
| 2. #19097766 | C2 | semidirect |
| 3. #19097760 | C2 | semidirect |
| 4. #19097756 | C2 | semidirect |
| 5. #19097756 | C2 | semidirect |
| 6. #19097755 | C2 | semidirect |
| 7. #19097747 | C2 | semidirect |
| 9. #19097733 | C2 | semidirect |
| 10. C4×C22⋊D157 | C2 | semidirect |
| 11. #19097729 | C2 | semidirect |
| 12. #19097727 | C2 | semidirect |
| 13. C2×#14578931 | C2 | semidirect |
| 14. C22⋊C4×D157 | C2 | semidirect |
| 15. C22⋊Q8×C157 | C2 | semidirect |
| 23. C2×C4×D157 | C22 | semidirect |
| 24. C4⋊Dic157 | C22 | semidirect |
| 25. C4⋊Dic157 | C22 | semidirect |
| 26. #14578933 | C22 | semidirect |
| 27. #14578933 | C22 | semidirect |
| 28. #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 |
| 44. C2×Q8×C157 | C22 | semidirect |
| 46. C4⋊C4×C157 | C22 | semidirect |
| 47. C4⋊C4×C157 | C22 | semidirect |
| 48. C4⋊C4×C157 | C22 | semidirect |
| 110. C157 | #551 | semidirect |
| 119. C22⋊Q8 | D157 | semidirect |
| 128. C2×Q8 | C2×D157 | semidirect |
| 142. C4⋊C4 | C2×D157 | semidirect |
| 143. C4⋊C4 | C2×D157 | semidirect |
| 144. C4⋊C4 | C2×D157 | semidirect |