Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10599886 | C2 | semidirect |
| 3. #10599885 | C2 | semidirect |
| 4. C5×#1315 | C2 | semidirect |
| 5. #10598180 | C2 | semidirect |
| 6. #10598014 | C2 | semidirect |
| 7. #10598014 | C2 | semidirect |
| 69. #1315 | D5 | semidirect |
| 305. C5 | #11492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610388 | 2 |
| #10599886 | 2 |
| #10599885 | 2 |
| C5×#1315 | 2 |
| #10598180 | 2 |
| #10598014 | 2 |
| #11492 | 5 |