Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
546 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 101 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. #10615048 | C2 | semidirect |
| 3. #10615014 | C2 | semidirect |
| 4. #10602611 | C2 | semidirect |
| 5. #10602604 | C2 | semidirect |
| 6. #10601252 | C2 | semidirect |
| 7. #10598197 | C2 | semidirect |
| 367. C5 | #10196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3245 | 2 |
| #10615048 | 2 |
| #10615014 | 2 |
| #10602611 | 2 |
| #10602604 | 2 |
| #10601252 | 2 |
| #10598197 | 2 |
| #10196 | 5 |