Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 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. #19097802 | C2 | semidirect |
| 3. #19097777 | C2 | semidirect |
| 4. #19097707 | C2 | semidirect |
| 5. #19097690 | C2 | semidirect |
| 6. #19097688 | C2 | semidirect |
| 7. C2×SD16×C157 | C2 | semidirect |
| 51. C157 | #471 | semidirect |
| 55. C2×SD16 | D157 | semidirect |