Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
460 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 82 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. #10603917 | C2 | semidirect |
| 5. #10598561 | C2 | semidirect |
| 119. C23×C5 | #108 | semidirect |
| 261. C23 | #3996 | semidirect |
| 289. C5 | #8859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617063 | 2 |
| #10604236 | 2 |
| #10603917 | 2 |
| #10598912 | 2 |
| #10598561 | 2 |
| #8859 | 5 |