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. #19104765 | C2 | semidirect |
| 3. #19104761 | C2 | semidirect |
| 4. #19104755 | C2 | semidirect |
| 5. C2×#14579687 | C2 | semidirect |
| 6. #19104742 | C2 | semidirect |
| 7. H(5,𝔽2)×C163 | C2 | semidirect |
| 8. #14579699 | C22 | semidirect |
| 10. C2×Dic326 | C22 | semidirect |
| 12. #14579689 | C22 | semidirect |
| 13. #14579687 | C22 | semidirect |
| 14. #14579687 | C22 | semidirect |
| 15. #14579686 | C22 | semidirect |
| 16. #14579684 | C22 | semidirect |
| 17. #14579683 | C22 | semidirect |
| 18. C2×C163⋊C8 | C22 | semidirect |
| 53. C163 | #577 | semidirect |
| 56. H(5,𝔽2) | D163 | semidirect |