Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
214 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 214 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. #19097764 | C2 | semidirect |
| 2. #19097762 | C2 | semidirect |
| 3. #19097761 | C2 | semidirect |
| 5. #19097747 | C2 | semidirect |
| 6. Q8×Dic157 | C2 | semidirect |
| 8. #19097730 | C2 | semidirect |
| 9. #19097729 | C2 | semidirect |
| 10. C4⋊C4×D157 | C2 | semidirect |
| 11. C22⋊Q8×C157 | C2 | semidirect |
| 72. C157 | #552 | semidirect |
| 79. C22⋊Q8 | D157 | semidirect |