Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
198 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 39 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. #19104780 | C2 | semidirect |
| 2. #19104705 | C2 | semidirect |
| 3. #19104703 | C2 | semidirect |
| 4. #19104649 | C2 | semidirect |
| 5. #99×C163 | C2 | semidirect |
| 6. C23×D163 | C22 | semidirect |
| 14. C22⋊Dic163 | C22 | semidirect |
| 18. C22⋊C4×C163 | C22 | semidirect |
| 23. C22×D163 | D4 | semidirect |
| 33. C2×Dic163 | D4 | semidirect |
| 35. C23×C163 | D4 | semidirect |
| 39. C2×C4×C163 | D4 | semidirect |
| 63. C163 | B(4,𝔽2) | semidirect |
| 69. #99 | D163 | semidirect |
| 82. C22⋊C4 | C2×D163 | semidirect |
| 88. C23 | D652 | semidirect |
| 103. C2×C4 | D652 | semidirect |