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. #19104780 | C2 | semidirect |
| 2. #19104761 | C2 | semidirect |
| 3. #19104759 | C2 | semidirect |
| 4. #19104757 | C2 | semidirect |
| 5. #19104754 | C2 | semidirect |
| 6. D8×D163 | C2 | semidirect |
| 7. #19104741 | C2 | semidirect |
| 8. C2×D8×C163 | C2 | semidirect |
| 10. #14579699 | C22 | semidirect |
| 12. #14579698 | C22 | semidirect |
| 15. D4×D163 | C22 | semidirect |
| 16. Dic652 | C22 | semidirect |
| 17. #14579688 | C22 | semidirect |
| 18. #14579687 | C22 | semidirect |
| 19. D1304 | C22 | semidirect |
| 20. #14579684 | C22 | semidirect |
| 21. #14579683 | C22 | semidirect |
| 22. #14579682 | C22 | semidirect |
| 23. C8×D163 | C22 | semidirect |
| 24. C2×D4×C163 | C22 | semidirect |
| 25. D8×C163 | C22 | semidirect |
| 26. D8×C163 | C22 | semidirect |
| 27. C2×C8×C163 | C22 | semidirect |
| 62. C163 | #576 | semidirect |
| 70. C2×D8 | D163 | semidirect |
| 79. C2×D4 | C2×D163 | semidirect |
| 85. D8 | C2×D163 | semidirect |
| 86. D8 | C2×D163 | semidirect |
| 90. C2×C8 | C2×D163 | semidirect |