Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
216 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19104733 | C2 | semidirect |
| 2. #19104730 | C2 | semidirect |
| 3. #19104728 | C2 | semidirect |
| 4. #19104724 | C2 | semidirect |
| 5. #19104721 | C2 | semidirect |
| 6. #19104721 | C2 | semidirect |
| 7. #19104720 | C2 | semidirect |
| 8. #19104718 | C2 | semidirect |
| 9. #19104713 | C2 | semidirect |
| 10. #19104713 | C2 | semidirect |
| 12. #19104700 | C2 | semidirect |
| 13. C4×C22⋊D163 | C2 | semidirect |
| 14. #19104693 | C2 | semidirect |
| 15. C22⋊Q8×C163 | C2 | semidirect |
| 103. C163 | #542 | semidirect |
| 115. C22⋊Q8 | D163 | semidirect |