Finite Group DatabasebetaFinite Group DatabasebetaOrder 20864.
200 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 8. #19104645 | C4 | semidirect |
| 9. C8×Dic163 | C4 | semidirect |
| 13. #97×C163 | C4 | semidirect |
| 14. C4×C8×C163 | C4 | semidirect |
| 54. C163 | #1747 | semidirect |
| 67. #97 | Dic163 | semidirect |
| 69. C4×C8 | Dic163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23781620 | 2 |
| C163⋊#338 | 2 |
| #23781422 | 2 |
| #23781421 | 2 |
| #405×C163 | 2 |
| #1747 | 163 |