Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14578954 | C2 | semidirect |
| 2. #19097802 | C2 | semidirect |
| 3. #19097801 | C2 | semidirect |
| 4. #19097797 | C2 | semidirect |
| 5. #19097796 | C2 | semidirect |
| 6. #19097791 | C2 | semidirect |
| 7. C2×#14578938 | C2 | semidirect |
| 8. C2×#41×C157 | C2 | semidirect |
| 12. #14578954 | C22 | semidirect |
| 13. C2×Dic314 | C22 | semidirect |
| 14. C2×D628 | C22 | semidirect |
| 17. #14578944 | C22 | semidirect |
| 18. #14578942 | C22 | semidirect |
| 19. #14578941 | C22 | semidirect |
| 20. #14578939 | C22 | semidirect |
| 21. #14578938 | C22 | semidirect |
| 22. #14578938 | C22 | semidirect |
| 23. C2×#11929434 | C22 | semidirect |
| 27. #41×C157 | C22 | semidirect |
| 28. C2×Q8×C157 | C22 | semidirect |
| 30. C2×D4×C157 | C22 | semidirect |
| 81. C157 | #575 | semidirect |
| 84. C2×#41 | D157 | semidirect |
| 98. #41 | C2×D157 | semidirect |
| 100. C2×Q8 | C2×D157 | semidirect |
| 104. C2×D4 | C2×D157 | semidirect |