Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
212 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 82 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. #10598647 | C2 | semidirect |
| 5. #10598644 | C2 | semidirect |
| 164. C5 | #12036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10603818 | 2 |
| #10603815 | 2 |
| #10600067 | 2 |
| #10598647 | 2 |
| #10598644 | 2 |
| #12036 | 5 |