Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19104730 | C2 | semidirect |
| 2. #19104726 | C2 | semidirect |
| 3. #19104720 | C2 | semidirect |
| 4. #19104719 | C2 | semidirect |
| 5. #19104711 | C2 | semidirect |
| 7. (C22⋊D163)⋊C4 | C2 | semidirect |
| 8. C2×Dic163⋊C4 | C2 | semidirect |
| 9. C22⋊Q8×C163 | C2 | semidirect |
| 66. C163 | #539 | semidirect |
| 73. C22⋊Q8 | D163 | semidirect |