Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
258 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 111 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. C22×Dic326 | C2 | semidirect |
| 2. #19104765 | C2 | direct (N × H) |
| 3. C2×#14579689 | C2 | semidirect |
| 4. C2×#14579687 | C2 | semidirect |
| 5. C2×#14579683 | C2 | semidirect |
| 10. C2×Dic326 | C22 | semidirect |
| 12. #14579689 | C22 | semidirect |
| 13. #14579687 | C22 | semidirect |
| 14. #14579683 | C22 | semidirect |
| 54. C2×C163 | #137 | semidirect |
| 56. C163 | C2×#137 | semidirect |
| 111. C2 | #19104765 | direct (N × H) |