Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
322 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 121. #168 | #108 | semidirect |
| 209. C5 | #8828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10603859 | 2 |
| #10603856 | 2 |
| #10603819 | 2 |
| #10603817 | 2 |
| #10603816 | 2 |
| D5×#322 | 2 |
| #8828 | 5 |