Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
654 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 132 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. #10604899 | C2 | semidirect |
| 3. #10598828 | C2 | semidirect |
| 4. #10598824 | C2 | semidirect |
| 21. C2×C5×#41 | C8 | semidirect |
| 152. C2×#41 | #170 | semidirect |
| 295. C5 | #7597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615817 | 2 |
| #10604899 | 2 |
| #10598828 | 2 |
| #10598824 | 2 |
| #7597 | 5 |