Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
384 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. C2×#64716 | C2 | semidirect |
| 5. #10601447 | C2 | semidirect |
| 6. #10601443 | C2 | semidirect |
| 7. #10598225 | C2 | semidirect |
| 298. C5 | #13403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65432 | 2 |
| C5×#1814 | 2 |
| #10602800 | 2 |
| C2×#64716 | 2 |
| #10601447 | 2 |
| #10601443 | 2 |
| #10598225 | 2 |
| #13403 | 5 |