Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
228 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19104734 | C2 | semidirect |
| 2. #19104725 | C2 | semidirect |
| 3. #19104715 | C2 | semidirect |
| 4. #19104714 | C2 | semidirect |
| 5. #19104714 | C2 | semidirect |
| 6. #19104713 | C2 | semidirect |
| 7. #19104700 | C2 | semidirect |
| 10. C4⋊C4×D163 | C2 | semidirect |
| 11. C2×C4⋊C4×C163 | C2 | semidirect |
| 38. C22⋊D163 | Q8 | semidirect |
| 74. C163 | #554 | semidirect |
| 86. C2×C4⋊C4 | D163 | semidirect |