Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
3958 conjugacy classes of subgroups; only the 571 normal subgroups are shown.
This group has 3958 conjugacy classes of subgroups — too many to draw. Only its 571 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 |
|---|---|---|
| 2. C2×#65496 | C2 | semidirect |
| 3. #10602929 | C2 | semidirect |
| 12. C2×C22⋊#168 | C22 | semidirect |
| 167. C5 | #20580 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C5×#41 | 2 |
| C2×#65496 | 2 |
| #10602929 | 2 |
| #20580 | 5 |