Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
218 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 116 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. #10598655 | C2 | semidirect |
| 80. Dic5 | M64 | semidirect |
| 111. C5 | #13627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64877 | 2 |
| C2×C16×Dic5 | 2 |
| #10598655 | 2 |
| #13627 | 5 |