Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
306 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 72 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. #10603856 | C2 | semidirect |
| 3. #10603830 | C2 | semidirect |
| 4. #10598814 | C2 | semidirect |
| 254. C5 | #11866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10613540 | 2 |
| #10603856 | 2 |
| #10603830 | 2 |
| #10598814 | 2 |
| #10598806 | 2 |
| #11866 | 5 |