Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
536 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#65011 | C2 | semidirect |
| 4. #10600766 | C2 | semidirect |
| 5. #10600716 | C2 | semidirect |
| 7. C5×#1298 | C2 | semidirect |
| 82. #1298 | D5 | semidirect |
| 356. C5 | #9994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610373 | 2 |
| C2×#65011 | 2 |
| C2×#65025 | 2 |
| #10600766 | 2 |
| #10600716 | 2 |
| #10600714 | 2 |
| C5×#1298 | 2 |
| #9994 | 5 |