Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19097765 | C2 | semidirect |
| 2. #19097763 | C2 | semidirect |
| 3. #19097759 | C2 | semidirect |
| 4. #19097754 | C2 | semidirect |
| 5. #19097750 | C2 | semidirect |
| 7. C4×Dic314 | C2 | semidirect |
| 8. C4×D628 | C2 | semidirect |
| 9. C4×C22⋊D157 | C2 | semidirect |
| 10. #19097728 | C2 | semidirect |
| 11. C2×C42×C157 | C2 | semidirect |
| 74. C157 | #529 | semidirect |
| 86. C2×C42 | D157 | semidirect |