Finite Group DatabasebetaFinite Group DatabasebetaOrder 20864.
326 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 111. C163 | #3374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782394 | 2 |
| #23782390 | 2 |
| #23782032 | 2 |
| #23782015 | 2 |
| #23781970 | 2 |
| #23781951 | 2 |
| #23781873 | 2 |
| #23781792 | 2 |
| #23781772 | 2 |
| C4×#14579689 | 2 |
| #462×C163 | 2 |
| #3374 | 163 |