Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 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. #41×D157 | C2 | semidirect |
| 2. #19097803 | C2 | semidirect |
| 3. #19097800 | C2 | semidirect |
| 4. #19097798 | C2 | semidirect |
| 5. #19097795 | C2 | semidirect |
| 6. #19097793 | C2 | semidirect |
| 7. #19097791 | C2 | semidirect |
| 8. C2×#14578937 | C2 | semidirect |
| 9. #135×C157 | C2 | semidirect |
| 12. #14578954 | C22 | semidirect |
| 15. Q8×D157 | C22 | semidirect |
| 17. D4×D157 | C22 | semidirect |
| 20. Dic628 | C22 | semidirect |
| 21. #14578944 | C22 | semidirect |
| 22. #14578943 | C22 | semidirect |
| 23. #14578942 | C22 | semidirect |
| 24. #14578941 | C22 | semidirect |
| 25. D1256 | C22 | semidirect |
| 26. #14578939 | C22 | semidirect |
| 27. #14578937 | C22 | semidirect |
| 28. #14578937 | C22 | semidirect |
| 29. C2×#11929434 | C22 | semidirect |
| 30. #41×C157 | C22 | semidirect |
| 31. Q16×C157 | C22 | semidirect |
| 32. SD16×C157 | C22 | semidirect |
| 33. D8×C157 | C22 | semidirect |
| 34. C2×C8×C157 | C22 | semidirect |
| 75. C157 | #575 | semidirect |
| 84. #135 | D157 | semidirect |
| 91. #41 | C2×D157 | semidirect |
| 99. Q16 | C2×D157 | semidirect |
| 103. SD16 | C2×D157 | semidirect |
| 106. D8 | C2×D157 | semidirect |
| 110. C2×C8 | C2×D157 | semidirect |