Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
494 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 111 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. C5×#1745 | C2 | semidirect |
| 3. #10600185 | C2 | semidirect |
| 4. #10597971 | C2 | semidirect |
| 57. #1745 | D5 | semidirect |
| 330. C5 | #7618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4021 | 2 |
| C5×#1745 | 2 |
| #10600185 | 2 |
| #10597971 | 2 |
| #10597970 | 2 |
| #7618 | 5 |