Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10610983 | C2 | semidirect |
| 3. C2×C5×#361 | C2 | semidirect |
| 4. C2×#64783 | C2 | semidirect |
| 5. #10602231 | C2 | semidirect |
| 6. #10598311 | C2 | semidirect |
| 7. #10598225 | C2 | semidirect |
| 70. C2×#361 | D5 | semidirect |
| 315. C5 | #13007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65449 | 2 |
| #10610983 | 2 |
| C2×C5×#361 | 2 |
| C2×#64783 | 2 |
| #10602231 | 2 |
| #10598311 | 2 |
| #10598225 | 2 |
| #13007 | 5 |