Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
320 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 320 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. #10599886 | C2 | semidirect |
| 3. #10599885 | C2 | semidirect |
| 4. C5×#1322 | C2 | semidirect |
| 5. #10598200 | C2 | semidirect |
| 65. #1322 | D5 | semidirect |
| 290. C5 | #11461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65129 | 2 |
| #10599886 | 2 |
| #10599885 | 2 |
| C5×#1322 | 2 |
| #10598200 | 2 |
| #10598013 | 2 |
| #11461 | 5 |