Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
486 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 3. #10604150 | C2 | semidirect |
| 4. #10598780 | C2 | semidirect |
| 161. C4×C5 | #349 | semidirect |
| 241. C5 | #12785 | semidirect |
| 253. C4 | #64891 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#676 | 2 |
| C2×#64891 | 2 |
| #10604150 | 2 |
| #10598780 | 2 |
| #12785 | 5 |