Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1194 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 1194 conjugacy classes of subgroups — too many to draw. Only its 216 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. #10617054 | C2 | semidirect |
| 4. #10604905 | C2 | semidirect |
| 5. #10604339 | C2 | semidirect |
| 6. #10604251 | C2 | semidirect |
| 354. C5 | #21802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65982 | 2 |
| #10617054 | 2 |
| #10604951 | 2 |
| #10604905 | 2 |
| #10604339 | 2 |
| #10604251 | 2 |
| #21802 | 5 |