Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1194 conjugacy classes of subgroups; only the 235 normal subgroups are shown.
This group has 1194 conjugacy classes of subgroups — too many to draw. Only its 235 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. #10610351 | C2 | semidirect |
| 5. #10600891 | C2 | semidirect |
| 6. #10600858 | C2 | semidirect |
| 7. #10600783 | C2 | semidirect |
| 315. C5 | #21802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66159 | 2 |
| #10610351 | 2 |
| C5×#1785 | 2 |
| #10602930 | 2 |
| #10600891 | 2 |
| #10600858 | 2 |
| #10600783 | 2 |
| #21802 | 5 |