Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
258 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 2. #19104743 | C2 | semidirect |
| 3. #19104742 | C2 | semidirect |
| 4. #19104741 | C2 | semidirect |
| 5. C2×#14579682 | C2 | semidirect |
| 6. M16×D163 | C2 | semidirect |
| 7. #131×C163 | C2 | semidirect |
| 14. #14579683 | C22 | semidirect |
| 17. #14579682 | C22 | semidirect |
| 18. #14579682 | C22 | semidirect |
| 19. C2×C163⋊C8 | C22 | semidirect |
| 20. C8×D163 | C22 | semidirect |
| 22. M16×C163 | C22 | semidirect |
| 23. C2×C8×C163 | C22 | semidirect |
| 52. C163 | #568 | semidirect |
| 58. #131 | D163 | semidirect |
| 73. M16 | C2×D163 | semidirect |
| 76. C2×C8 | C2×D163 | semidirect |