Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 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. C2×#14579699 | C2 | semidirect |
| 2. #19104768 | C2 | semidirect |
| 3. #19104763 | C2 | semidirect |
| 4. #19104757 | C2 | semidirect |
| 5. C2×M16×C163 | C2 | semidirect |
| 9. #14579699 | C22 | semidirect |
| 10. C2×Dic326 | C22 | semidirect |
| 11. C2×D652 | C22 | semidirect |
| 14. Dic652 | C22 | semidirect |
| 15. #14579688 | C22 | semidirect |
| 16. D1304 | C22 | semidirect |
| 18. M16×C163 | C22 | semidirect |
| 19. C2×C8×C163 | C22 | semidirect |
| 49. C163 | #575 | semidirect |
| 55. C2×M16 | D163 | semidirect |
| 68. M16 | C2×D163 | semidirect |
| 69. C2×C8 | C2×D163 | semidirect |