Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 17. #64970 | C4 | semidirect |
| 18. #64970 | C4 | semidirect |
| 265. C5 | #9426 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610268 | 2 |
| #10605996 | 2 |
| #10601630 | 2 |
| #10601617 | 2 |
| #10600359 | 2 |
| C5×#1288 | 2 |
| #10598157 | 2 |
| #9426 | 5 |