Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 79 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. #10602587 | C2 | semidirect |
| 4. #10602574 | C2 | semidirect |
| 6. #10597971 | C2 | semidirect |
| 7. #10597969 | C2 | semidirect |
| 358. C5 | #7773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608153 | 2 |
| C5×#2023 | 2 |
| #10602587 | 2 |
| #10602574 | 2 |
| #10598130 | 2 |
| #10597971 | 2 |
| #10597969 | 2 |
| #7773 | 5 |