Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
156 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 47. C5×C8 | Q16 | semidirect |
| 99. C8 | #689 | semidirect |
| 100. C5 | #1674 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#500 | 2 |
| #65379 | 2 |
| C8×Dic10 | 2 |
| #64767 | 2 |
| #64678 | 2 |
| #1674 | 5 |