Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
218 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. #10602177 | C2 | semidirect |
| 5. #10598292 | C2 | semidirect |
| 6. #10597966 | C2 | semidirect |
| 7. #10597961 | C2 | semidirect |
| 74. #672 | SD16 | semidirect |
| 192. C5 | #12454 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1673 | 2 |
| #10602177 | 2 |
| #10601651 | 2 |
| #10601645 | 2 |
| #10598292 | 2 |
| #10597966 | 2 |
| #10597961 | 2 |
| #12454 | 5 |