Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
290 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×C5×M64 | C2 | semidirect |
| 3. C2×#64726 | C2 | semidirect |
| 4. #10598096 | C2 | semidirect |
| 5. #10598095 | C2 | semidirect |
| 48. C2×M64 | D5 | semidirect |
| 208. C5 | #13625 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65193 | 2 |
| C2×C5×M64 | 2 |
| C2×#64726 | 2 |
| #10598096 | 2 |
| #10598095 | 2 |
| #13625 | 5 |