Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
242 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19104715 | C2 | semidirect |
| 2. #19104714 | C2 | semidirect |
| 3. #19104713 | C2 | semidirect |
| 4. #19104713 | C2 | semidirect |
| 5. #19104712 | C2 | semidirect |
| 6. #19104711 | C2 | semidirect |
| 9. C22⋊Q8×C163 | C2 | semidirect |
| 11. C2×Dic326 | C22 | semidirect |
| 12. C2×Dic326 | C22 | semidirect |
| 16. C4⋊Dic163 | C22 | semidirect |
| 17. C4⋊Dic163 | C22 | semidirect |
| 18. Dic163⋊C4 | C22 | semidirect |
| 19. Dic163⋊C4 | C22 | semidirect |
| 20. Dic163⋊C4 | C22 | semidirect |
| 26. C2×Q8×C163 | C22 | semidirect |
| 28. C4⋊C4×C163 | C22 | semidirect |
| 29. C4⋊C4×C163 | C22 | semidirect |
| 33. C22×D163 | Q8 | semidirect |
| 70. C163 | #543 | semidirect |
| 78. C22⋊Q8 | D163 | semidirect |
| 84. C2×Q8 | C2×D163 | semidirect |
| 94. C4⋊C4 | C2×D163 | semidirect |
| 95. C4⋊C4 | C2×D163 | semidirect |