Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
610 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 168 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. #10598722 | C2 | semidirect |
| 9. #65759 | C4 | semidirect |
| 211. C5 | #8031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65759 | 2 |
| #10613955 | 2 |
| #10598722 | 2 |
| #8031 | 5 |