Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
188 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. C2×C5×D32 | C2 | semidirect |
| 2. #10602265 | C2 | semidirect |
| 3. #10600159 | C2 | semidirect |
| 4. #10598316 | C2 | semidirect |
| 5. #10598084 | C2 | semidirect |
| 32. C2×D32 | D5 | semidirect |
| 125. C5 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×D32 | 2 |
| #10602265 | 2 |
| #10600159 | 2 |
| #10598316 | 2 |
| #10598084 | 2 |
| #13700 | 5 |