Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
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. C2×#14579698 | C2 | semidirect |
| 2. #41×D163 | C2 | semidirect |
| 3. #19104768 | C2 | semidirect |
| 4. #19104765 | C2 | semidirect |
| 5. #19104764 | C2 | semidirect |
| 6. #19104761 | C2 | semidirect |
| 7. #19104759 | C2 | semidirect |
| 8. #19104756 | C2 | semidirect |
| 9. #19104754 | C2 | semidirect |
| 10. M16×D163 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C163 | C2 | semidirect |
| 12. #14579700 | C22 | semidirect |
| 19. #14579698 | C22 | semidirect |
| 20. #14579698 | C22 | semidirect |
| 21. C2×Dic326 | C22 | semidirect |
| 22. Q8×D163 | C22 | semidirect |
| 25. D4×D163 | C22 | semidirect |
| 29. Dic652 | C22 | semidirect |
| 30. #14579689 | C22 | semidirect |
| 31. #14579688 | C22 | semidirect |
| 32. #14579687 | C22 | semidirect |
| 33. #14579687 | C22 | semidirect |
| 34. #14579684 | C22 | semidirect |
| 35. #14579683 | C22 | semidirect |
| 36. #14579682 | C22 | semidirect |
| 37. C8×D163 | C22 | semidirect |
| 39. C2×D4×C163 | C22 | semidirect |
| 40. SD16×C163 | C22 | semidirect |
| 41. D8×C163 | C22 | semidirect |
| 42. M16×C163 | C22 | semidirect |
| 101. C163 | #575 | semidirect |
| 110. AGL(1,ℤ/8) | D163 | semidirect |
| 129. C2×D4 | C2×D163 | semidirect |
| 138. SD16 | C2×D163 | semidirect |
| 140. D8 | C2×D163 | semidirect |
| 143. M16 | C2×D163 | semidirect |