Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
454 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 96 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. #10604697 | C2 | semidirect |
| 4. #10604696 | C2 | semidirect |
| 5. #10598772 | C2 | semidirect |
| 177. #168 | #100 | semidirect |
| 334. C5 | #8618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65018 | 2 |
| #10604907 | 2 |
| #10604697 | 2 |
| #10604696 | 2 |
| #10598772 | 2 |
| #8618 | 5 |