Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
302 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 63 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. #10601862 | C2 | semidirect |
| 3. #10601861 | C2 | semidirect |
| 4. #10601325 | C2 | semidirect |
| 5. #10598266 | C2 | semidirect |
| 6. #10598266 | C2 | semidirect |
| 7. #10598209 | C2 | semidirect |
| 272. C5 | #12294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3259 | 2 |
| #10601862 | 2 |
| #10601861 | 2 |
| #10601325 | 2 |
| #10598266 | 2 |
| #10598209 | 2 |
| #12294 | 5 |