Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
298 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 148 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. C2×#14578964 | C2 | semidirect |
| 2. D157⋊M16 | C2 | direct (N × H) |
| 3. C2×#14578963 | C2 | semidirect |
| 4. C2×D157⋊C8 | C2 | semidirect |
| 6. #14578964 | C22 | semidirect |
| 7. #14578963 | C22 | semidirect |
| 8. D157⋊C8 | C22 | semidirect |
| 9. C2×#11929441 | C22 | semidirect |
| 19. #11929441 | C23 | semidirect |
| 43. C2×D157 | M16 | semidirect |
| 52. C2×C157 | C2×M16 | semidirect |
| 55. D157 | C2×M16 | semidirect |
| 56. C157 | C22×M16 | semidirect |
| 111. C2 | D157⋊M16 | direct (N × H) |