Finite Group DatabasebetaFinite Group DatabasebetaOrder 20864.
314 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 32. C22⋊Dic163 | Q8 | semidirect |
| 43. C22⋊C4×C163 | Q8 | semidirect |
| 98. C163 | #2062 | semidirect |
| 142. C22⋊C4 | Dic326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782291 | 2 |
| #23781538 | 2 |
| #23781432 | 2 |
| #23781431 | 2 |
| #385×C163 | 2 |
| #2062 | 163 |