Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
338 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 151 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. C4×C22⋊D157 | C2 | semidirect |
| 3. #19097731 | C2 | semidirect |
| 4. #19097727 | C2 | semidirect |
| 5. C2×C22⋊Dic157 | C2 | semidirect |
| 6. C22⋊C4×D157 | C2 | semidirect |
| 7. C2×C22⋊C4×C157 | C2 | semidirect |
| 9. C2×C22⋊D157 | C4 | semidirect |
| 13. C22×Dic157 | C22 | semidirect |
| 14. C2×C4×D157 | C22 | semidirect |
| 15. #14578933 | C22 | semidirect |
| 17. C22⋊Dic157 | C22 | semidirect |
| 18. #14578931 | C22 | semidirect |
| 19. C4×Dic157 | C22 | semidirect |
| 21. C22×C4×C157 | C22 | semidirect |
| 23. C22⋊C4×C157 | C22 | semidirect |
| 25. C22×D157 | C2×C4 | semidirect |
| 27. C22⋊D157 | C2×C4 | semidirect |
| 28. C22⋊D157 | C2×C4 | semidirect |
| 30. C2×Dic157 | C2×C4 | semidirect |
| 35. C23×C157 | C2×C4 | semidirect |
| 61. C157 | #518 | semidirect |
| 69. C2×C22⋊C4 | D157 | semidirect |
| 78. C22×C4 | C2×D157 | semidirect |
| 84. C22⋊C4 | C2×D157 | semidirect |
| 90. C23 | C4×D157 | semidirect |