Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
200 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 72. Dic10 | Q16 | semidirect |
| 151. C5 | #1645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic10 | 2 |
| #65320 | 2 |
| #65140 | 2 |
| #64970 | 2 |
| C5×Q8⋊C8 | 2 |
| #64701 | 2 |
| #64676 | 2 |
| #1645 | 5 |