Finite Group DatabasebetaFinite Group DatabasebetaOrder 20864.
240 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19104734 | C4 | semidirect |
| 9. #19104733 | C4 | semidirect |
| 13. Q8×Dic163 | C4 | semidirect |
| 15. #19104700 | C4 | semidirect |
| 104. C163 | #1503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23782217 | 2 |
| #23781715 | 2 |
| #23781516 | 2 |
| #23781403 | 2 |
| #23781402 | 2 |
| #23781401 | 2 |
| #328×C163 | 2 |
| #1503 | 163 |