Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
816 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 147 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. #10602534 | C2 | semidirect |
| 3. C2×#64763 | C2 | semidirect |
| 4. #10602519 | C2 | semidirect |
| 5. C2×#64760 | C2 | semidirect |
| 8. C5×#562 | C4 | semidirect |
| 105. #562 | Dic5 | semidirect |
| 283. C5 | #8508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#562 | 2 |
| #10602534 | 2 |
| C2×#64763 | 2 |
| #10602519 | 2 |
| C2×#64760 | 2 |
| #8508 | 5 |