Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
460 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 2. #10604732 | C2 | semidirect |
| 3. #10604731 | C2 | semidirect |
| 5. #10598767 | C2 | semidirect |
| 342. C5 | #8613 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65125 | 2 |
| #10604732 | 2 |
| #10604731 | 2 |
| #10604163 | 2 |
| #10598767 | 2 |
| #8613 | 5 |