Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
242 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19097751 | C2 | semidirect |
| 2. #19097750 | C2 | semidirect |
| 3. #19097749 | C2 | semidirect |
| 4. #19097749 | C2 | semidirect |
| 5. #19097748 | C2 | semidirect |
| 6. #19097747 | C2 | semidirect |
| 9. C22⋊Q8×C157 | C2 | semidirect |
| 11. C2×Dic314 | C22 | semidirect |
| 12. C2×Dic314 | C22 | semidirect |
| 16. C4⋊Dic157 | C22 | semidirect |
| 17. C4⋊Dic157 | C22 | semidirect |
| 18. #14578933 | C22 | semidirect |
| 19. #14578933 | C22 | semidirect |
| 20. #14578933 | C22 | semidirect |
| 26. C2×Q8×C157 | C22 | semidirect |
| 28. C4⋊C4×C157 | C22 | semidirect |
| 29. C4⋊C4×C157 | C22 | semidirect |
| 33. C22×D157 | Q8 | semidirect |
| 70. C157 | #543 | semidirect |
| 78. C22⋊Q8 | D157 | semidirect |
| 84. C2×Q8 | C2×D157 | semidirect |
| 94. C4⋊C4 | C2×D157 | semidirect |
| 95. C4⋊C4 | C2×D157 | semidirect |