Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
354 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 74 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. #10603890 | C2 | semidirect |
| 4. #10603867 | C2 | semidirect |
| 6. #10598550 | C2 | semidirect |
| 7. #10598548 | C2 | semidirect |
| 314. C5 | #8916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617322 | 2 |
| #10604555 | 2 |
| #10603890 | 2 |
| #10603867 | 2 |
| #10599134 | 2 |
| #10598550 | 2 |
| #10598548 | 2 |
| #8916 | 5 |