Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
326 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 60 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. #10604155 | C2 | semidirect |
| 3. #10598735 | C2 | semidirect |
| 4. #10598734 | C2 | semidirect |
| 16. #64860 | C22 | semidirect |
| 193. C5 | #11915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615067 | 2 |
| #10604155 | 2 |
| #10598735 | 2 |
| #10598734 | 2 |
| #11915 | 5 |