Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 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. #19104782 | C2 | semidirect |
| 2. #19104781 | C2 | semidirect |
| 3. #19104768 | C2 | semidirect |
| 4. #19104763 | C2 | semidirect |
| 5. #19104757 | C2 | semidirect |
| 6. C2×#14579688 | C2 | semidirect |
| 7. #131×C163 | C2 | semidirect |
| 10. #14579699 | C22 | semidirect |
| 12. C2×Dic326 | C22 | semidirect |
| 16. Dic652 | C22 | semidirect |
| 17. #14579688 | C22 | semidirect |
| 18. #14579688 | C22 | semidirect |
| 19. #14579688 | C22 | semidirect |
| 20. D1304 | C22 | semidirect |
| 22. M16×C163 | C22 | semidirect |
| 23. C2×C8×C163 | C22 | semidirect |
| 53. C163 | #577 | semidirect |
| 61. #131 | D163 | semidirect |
| 76. M16 | C2×D163 | semidirect |
| 77. C2×C8 | C2×D163 | semidirect |