Finite Group DatabasebetaFinite Group DatabasebetaOrder 10432.
322 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 135 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. C22×Dic326 | C2 | semidirect |
| 3. #19104712 | C2 | direct (N × H) |
| 4. C2×C4⋊Dic163 | C2 | semidirect |
| 5. C2×Dic163⋊C4 | C2 | semidirect |
| 6. C2×Dic163⋊C4 | C2 | semidirect |
| 10. C2×Dic326 | C22 | semidirect |
| 17. C4⋊Dic163 | C22 | semidirect |
| 18. Dic163⋊C4 | C22 | semidirect |
| 19. Dic163⋊C4 | C22 | semidirect |
| 37. C23×C163 | Q8 | semidirect |
| 49. C22×C163 | C2×Q8 | semidirect |
| 59. C2×C163 | C22⋊Q8 | semidirect |
| 63. C163 | C2×C22⋊Q8 | semidirect |
| 91. C23 | Dic326 | semidirect |
| 113. C22 | C2×Dic326 | semidirect |
| 123. C2 | #19104712 | direct (N × H) |