Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 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. #19104781 | C2 | semidirect |
| 2. #19104780 | C2 | semidirect |
| 3. #19104763 | C2 | semidirect |
| 4. #19104762 | C2 | semidirect |
| 5. #19104759 | C2 | semidirect |
| 6. #19104756 | C2 | semidirect |
| 7. #19104755 | C2 | semidirect |
| 8. C2×#14579684 | C2 | semidirect |
| 9. D8×D163 | C2 | semidirect |
| 10. #19104743 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C163 | C2 | semidirect |
| 12. #14579700 | C22 | semidirect |
| 15. #14579699 | C22 | semidirect |
| 17. #14579698 | C22 | semidirect |
| 19. C2×D652 | C22 | semidirect |
| 23. D4×D163 | C22 | semidirect |
| 24. D4×D163 | C22 | semidirect |
| 25. #14579689 | C22 | semidirect |
| 26. #14579688 | C22 | semidirect |
| 27. #14579687 | C22 | semidirect |
| 28. #14579686 | C22 | semidirect |
| 29. D1304 | C22 | semidirect |
| 30. #14579684 | C22 | semidirect |
| 31. #14579684 | C22 | semidirect |
| 32. #14579684 | C22 | semidirect |
| 33. #14579682 | C22 | semidirect |
| 34. C2×C163⋊C8 | C22 | semidirect |
| 35. C8×D163 | C22 | semidirect |
| 36. #41×C163 | C22 | semidirect |
| 37. C2×D4×C163 | C22 | semidirect |
| 38. SD16×C163 | C22 | semidirect |
| 39. D8×C163 | C22 | semidirect |
| 40. M16×C163 | C22 | semidirect |
| 93. C163 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D163 | semidirect |
| 112. #41 | C2×D163 | semidirect |
| 120. C2×D4 | C2×D163 | semidirect |
| 125. SD16 | C2×D163 | semidirect |
| 130. D8 | C2×D163 | semidirect |
| 132. M16 | C2×D163 | semidirect |