Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
198 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 198 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 |
|---|---|---|
| 1. C22×D628 | C2 | semidirect |
| 2. C2×D1256 | C2 | semidirect |
| 3. #19097745 | C2 | semidirect |
| 4. #19097693 | C2 | semidirect |
| 5. C22⋊C8×C157 | C2 | semidirect |
| 10. C2×D628 | C22 | semidirect |
| 13. C4⋊Dic157 | C22 | semidirect |
| 16. C2×C8×C157 | C22 | semidirect |
| 25. D628 | D4 | semidirect |
| 35. C22×C157 | D8 | semidirect |
| 53. C157 | #447 | semidirect |
| 59. C22⋊C8 | D157 | semidirect |
| 68. C2×C8 | C2×D157 | semidirect |
| 96. C22 | D1256 | semidirect |