Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
308 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 3. #10602109 | C2 | semidirect |
| 4. #10602102 | C2 | semidirect |
| 6. #10598009 | C2 | semidirect |
| 7. #10598008 | C2 | semidirect |
| 278. C5 | #12339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10613548 | 2 |
| C5×#2251 | 2 |
| #10602109 | 2 |
| #10602102 | 2 |
| #10598287 | 2 |
| #10598009 | 2 |
| #10598008 | 2 |
| #12339 | 5 |