Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19104783 | C2 | semidirect |
| 2. #19104782 | C2 | semidirect |
| 3. #19104768 | C2 | semidirect |
| 4. #19104767 | C2 | semidirect |
| 5. #19104764 | C2 | semidirect |
| 6. #19104756 | C2 | semidirect |
| 7. #19104755 | C2 | semidirect |
| 8. C2×#14579689 | C2 | semidirect |
| 9. Q16×D163 | C2 | semidirect |
| 10. #19104743 | C2 | semidirect |
| 11. #137×C163 | C2 | semidirect |
| 87. C163 | #578 | semidirect |
| 94. #137 | D163 | semidirect |