Finite Group DatabasebetaFinite Group DatabasebetaOrder 20864.
204 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 99. C163 | #1470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19104725 | 2 |
| #23781719 | 2 |
| #23781715 | 2 |
| #23781391 | 2 |
| #23781390 | 2 |
| #324×C163 | 2 |
| #1470 | 163 |