Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
228 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19097769 | C2 | semidirect |
| 2. #19097761 | C2 | semidirect |
| 3. #19097761 | C2 | semidirect |
| 4. #19097749 | C2 | semidirect |
| 5. #19097749 | C2 | semidirect |
| 6. #19097748 | C2 | semidirect |
| 7. #19097748 | C2 | semidirect |
| 8. #19097747 | C2 | semidirect |
| 9. #19097736 | C2 | semidirect |
| 13. C2×#14578933 | C2 | semidirect |
| 14. C4⋊C4×D157 | C2 | semidirect |
| 15. C22⋊Q8×C157 | C2 | semidirect |
| 54. C22⋊D157 | Q8 | semidirect |
| 101. C157 | #554 | semidirect |
| 111. C22⋊Q8 | D157 | semidirect |