Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
544 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 92 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. #10604987 | C2 | semidirect |
| 4. #10604971 | C2 | semidirect |
| 6. #10598775 | C2 | semidirect |
| 7. #10598772 | C2 | semidirect |
| 128. #704 | SD16 | semidirect |
| 443. C5 | #9247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617084 | 2 |
| C2×#65107 | 2 |
| #10604987 | 2 |
| #10604971 | 2 |
| #10604272 | 2 |
| #10598775 | 2 |
| #10598772 | 2 |
| #9247 | 5 |