Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
250 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 156 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. #10598653 | C2 | semidirect |
| 4. #10598652 | C2 | semidirect |
| 8. #64877 | C4 | semidirect |
| 28. #3928 | C2×C4 | semidirect |
| 92. Dic5 | M64 | semidirect |
| 125. C5 | C4×M64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64877 | 2 |
| C2×C16×Dic5 | 2 |
| #10598653 | 2 |
| #10598652 | 2 |
| C4×M64 | 5 |