Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
310 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 2. C4×Dic314 | C2 | semidirect |
| 3. C4×D628 | C2 | semidirect |
| 4. C4×C22⋊D157 | C2 | semidirect |
| 5. #19097730 | C2 | semidirect |
| 6. #19097728 | C2 | semidirect |
| 7. C42×D157 | C2 | semidirect |
| 8. C2×C42×C157 | C2 | semidirect |
| 9. #14578954 | C4 | direct (N × H) |
| 27. Dic314 | C2×C4 | semidirect |
| 28. D628 | C2×C4 | semidirect |
| 29. C22⋊D157 | C2×C4 | semidirect |
| 33. C4×D157 | C2×C4 | semidirect |
| 36. C2×C4×C157 | C2×C4 | semidirect |
| 49. C4×C157 | #41 | semidirect |
| 56. C157 | C4×#41 | semidirect |
| 65. C2×C42 | D157 | semidirect |
| 93. C2×C4 | C4×D157 | semidirect |
| 108. C4 | #14578954 | direct (N × H) |