Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
472 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 91 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. #10610243 | C2 | semidirect |
| 3. #10601577 | C2 | semidirect |
| 4. #10601556 | C2 | semidirect |
| 5. #10600653 | C2 | semidirect |
| 6. C5×#1299 | C2 | semidirect |
| 7. #10598207 | C2 | semidirect |
| 90. #1299 | D5 | semidirect |
| 386. C5 | #9350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610789 | 2 |
| #10610243 | 2 |
| #10601577 | 2 |
| #10601556 | 2 |
| #10600653 | 2 |
| C5×#1299 | 2 |
| #10598207 | 2 |
| #9350 | 5 |