Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
162 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 67 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. #10597931 | C2 | semidirect |
| 3. C8×#672 | C2 | semidirect |
| 30. C5×D8 | C16 | semidirect |
| 93. D8 | #672 | semidirect |
| 128. C5 | #7068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×C8×D8 | 2 |
| #10597931 | 2 |
| C8×#672 | 2 |
| #7068 | 5 |