Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1446 conjugacy classes of subgroups; only the 280 normal subgroups are shown.
This group has 1446 conjugacy classes of subgroups — too many to draw. Only its 280 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. #10604895 | C2 | semidirect |
| 4. #10604318 | C2 | semidirect |
| 16. #64918 | C22 | semidirect |
| 230. C5 | #20683 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4038 | 2 |
| C2×#65755 | 2 |
| #10604895 | 2 |
| #10604318 | 2 |
| #20683 | 5 |