Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
622 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 155 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. #10598108 | C2 | semidirect |
| 25. C2×C5×C22⋊C4 | C8 | semidirect |
| 135. C2×C22⋊C4 | #168 | semidirect |
| 257. C5 | #8734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2273 | 2 |
| C2×#64745 | 2 |
| #10598108 | 2 |
| #8734 | 5 |