Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
500 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 123 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. #10602430 | C2 | semidirect |
| 4. #10598135 | C2 | semidirect |
| 191. C4×C5 | #355 | semidirect |
| 275. C5 | #12801 | semidirect |
| 296. C4 | #64762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#124 | 2 |
| C2×#64762 | 2 |
| #10602430 | 2 |
| #10598135 | 2 |
| #12801 | 5 |