Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
266 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 140 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. #19097858 | C2 | direct (N × H) |
| 2. C2×#14578964 | C2 | semidirect |
| 3. C2×#14578963 | C2 | semidirect |
| 4. C2×D157⋊C8 | C2 | semidirect |
| 5. C22×#11929441 | C2 | semidirect |
| 7. #14578964 | C22 | semidirect |
| 8. #14578963 | C22 | semidirect |
| 9. D157⋊C8 | C22 | semidirect |
| 13. C2×#11929441 | C22 | semidirect |
| 46. C2×C157 | #131 | semidirect |
| 49. C157 | C2×#131 | semidirect |
| 97. C2 | #19097858 | direct (N × H) |