Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 136 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. #10604689 | C2 | semidirect |
| 4. #10598774 | C2 | semidirect |
| 220. C5 | #8157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65390 | 2 |
| #10604877 | 2 |
| #10604689 | 2 |
| #10598774 | 2 |
| #8157 | 5 |