Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19097817 | C2 | semidirect |
| 2. #19097802 | C2 | semidirect |
| 3. #19097796 | C2 | semidirect |
| 4. #19097791 | C2 | semidirect |
| 5. C2×#14578941 | C2 | semidirect |
| 6. #19097778 | C2 | semidirect |
| 7. 2−1+4×C157 | C2 | semidirect |
| 12. #14578944 | C22 | semidirect |
| 13. #14578942 | C22 | semidirect |
| 14. #14578941 | C22 | semidirect |
| 15. #14578941 | C22 | semidirect |
| 16. #14578939 | C22 | semidirect |
| 17. #14578938 | C22 | semidirect |
| 18. C2×#11929434 | C22 | semidirect |
| 21. #41×C157 | C22 | semidirect |
| 23. C2×Q8×C157 | C22 | semidirect |
| 53. C157 | #577 | semidirect |
| 55. 2−1+4 | D157 | semidirect |
| 66. #41 | C2×D157 | semidirect |
| 68. C2×Q8 | C2×D157 | semidirect |