Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
270 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 2. #19104733 | C2 | semidirect |
| 3. #19104724 | C2 | semidirect |
| 4. #19104718 | C2 | semidirect |
| 5. #19104711 | C2 | semidirect |
| 6. #19104694 | C2 | semidirect |
| 7. C22×Q8×C163 | C2 | semidirect |
| 52. C163 | #536 | semidirect |
| 55. C22×Q8 | D163 | semidirect |