Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
140 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. C2×Dic40 | C2 | semidirect |
| 4. #64737 | C2 | semidirect |
| 5. #64726 | C2 | semidirect |
| 95. C5 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#504 | 2 |
| #65432 | 2 |
| C2×Dic40 | 2 |
| #64737 | 2 |
| #64726 | 2 |
| #2222 | 5 |