Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
106 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19097777 | C2 | semidirect |
| 3. #19097706 | C2 | semidirect |
| 4. #19097698 | C2 | semidirect |
| 5. #19097697 | C2 | semidirect |
| 6. C8×Dic157 | C2 | semidirect |
| 7. #131×C157 | C2 | semidirect |
| 9. #14578944 | C4 | semidirect |
| 10. #14578942 | C4 | semidirect |
| 11. #14578941 | C4 | semidirect |
| 12. #14578939 | C4 | semidirect |
| 51. C157 | #443 | semidirect |
| 55. #131 | D157 | semidirect |